1. Activity: Let's Graph WU: RCQ's pg. Investigating how high a ping pong ball will bounce depending on what height the ball was dropped from. average heights on a graph of average bounce height vs. drop height. BALL DROP BALL DROP 2 WARM UP As a demonstration, drop a ball onto a table where all of your students can see it. Repeat steps 7 and 8 for the ping pong ball. drop height h 0 as well as the height achieved by each bouncy ball after one bounce h 1. This could be due to the small change in the bounce efficiency. Remember that gravity is always 9.8 m/s² (meters per second squared). Drop height vs Bounce efficiency. determined based on the data that as the height decreased, the range also decreased. Analysis: 1. Active 2 months ago. - Height at which the tennis ball bounces Controlled: - Same ball - Height at which the ball is dropped - Amount of force applied - Person dropping the ball. Repeat four times, each time starting at the return height of the previous trial. height of the bounce is so small that it is not reasonable to continue). Use the graph to predict the rebound Repeat the procedure by changing the release height to 75cm and then again to 50 cm. % Preallocate arrays for time and height. Deriving displacement as a function of time, acceleration, and initial velocity. BOUNCY BALL (DROP HEIGHT VS. Observe and record the bounce height for a ball dropped from a fixed height. To find the height of the first bounce we need to use suvat. Sketch the line of best fit for your ball. Each line of the table determines one point of the graph. Predict, a bounce height for various drop height. Since you could only estimate the height of each apex to the nearest 0.05 meters, you should express the value for your experimental “g” to only two decimal places. Draw a graph of bounce height Vs drop height. 3. They graphed the height achieved vs. the mass of the dart and came out with an excellent inverse relationship. For each bounce, i. That's the idea. a. Label the drop height A b. Label the point of the first bounce B c. Label max height after the first bounce C d. Label the point of the second bounce D e. Label the max height after the second bounce E. 2. 3,625. That's the idea. The efficiency consistently declines as the drop height increases, as can be seen from the graph above, which shows negative slope for the trend line. Average velocity for constant acceleration. When i calculate the uncertainty in the gradient it comes out to be a very large number. (The points should lie nearly along a straight line. Graph 1 shows the linear growth with its equation and r2 value. Record the drop height and bounce in centimeters in the table below. By definition, the AVERAGE speed = Vavg = distance/time With these pairs (Vavg, time) of values U can plot the Vavg vs time graph. ii. 8. Investigating the relationship between drop height and bounce height when a ball is dropped. We were testing to see if height affects the bounce. curved. Graph Drop Height Vs Bounce Height. 4. The graph you see is rebound height versus bounce number. The surface dropped on must always be the same. We are going to calculate impact velocity with this formula: v = √2gh (square root) g= gravity. But at 9.0 psi, the height … When a ball is released from a height, it will accelerate on the way down due to the resultant force (weight) acting downwards. Predictions will vary. Calculate the change in height and potential energy. But at 9.0 psi, the height … I then graphed the log of time against the log of height and found that the graph of time squared against height was a much better straight line and it went through the origin. 4. 3 + 0.0008T. Label your To find the height of the first bounce we need to use suvat. 4. Instead we see a rebound of less than 1.5 times the initial drop height, despite what the algebraic results would suggest. Bounce Height H: Packet Slip - Unit: 1a Unit 1b: Earth Science Intro. Minimizing errors ed to drop the ball and the resulting standard deviation be wo different methods that you used to drop the ball and the for each one Method 1. Figure 6: Graph showing the y-position of center of mass of the tennis ball. When it hits the ground, the speed decreases to 0 m/s instantly. In this formula s=displacement, u=initial velocity, a=acceleration and t=time. Repeat steps 7 and 8 for the marble. 2. Hence my original idea is wrong and a new discovery was made, namely that time squared is proportional the drop height. Did the balls bounce highest when released from their highest point? Velocity reduces this much after a bounce. 7. h = h0; % Instantaneous height. & Science Inquiry WU: Intro to Earth Science Video Link: "Big Idea - Why Earth Science?" steepness of a line on a graph tells you have fast one variable changes in relation to the other variable in the graph--the rate of change ... related to object's height calculate by weight x height. The scientific equation for determining the pressure of gas is “p=rRT,” where “p” is the pressure, “r” is the density, “R” is a constant specific to the gas and “T” is temperature. Are The Assumptions Valid Explain. Is it linear over a certain range of drop heights and not over others? Analysis: The data that we collected was only the time of the first and second bounce. The model is an exponential function: y = hpx, where y is the rebound height and x the bounce number. The equation is 10 = 32t 2 /2. It should bounce to a height approximately even with your hips. When the ball is falling towards the table, it has kinetic energy. hstop = 0.01; % Height at which if the peak height after a bounce is less than this, stop the simulation. = 10. feet, and so on and so on. What Assumptions Were Made? 5. Analysis: The data that we collected was only the time of the first and second bounce. 3,625. When inflating the ball, use a small pump and pressure gauge. Compute the slope of the best fit line. It was decided that the drop heights would be carried out over the range of 1 meter and in intervals of 10cm, this would give us 10 data points to work with, which was deemed to be acceptable to achieve an accurate graph and coe cient value. Graph the bounce height vs. drop height data. For multiple bounces, it's just like dropping the ball again from a reduced height. However, it is possible that a more appropriate model is a cubic one, as shown in Graph 2. Repeat this for the various starting heights shown in the data table, each time recording the height the ball reaches after the first bounce. Kinematic formulas and projectile motion. When the drop plate was at its highest at 30 cm above the bounce plate, the average range was 30.35 cm. For every meter increase in drop height, the bounce efficiency decreases by 1% in the range of heights tested. Remind students that a best-fit line does not have to pass through all three points, and that it … Calculate The Impact Velocity Of The Balls From 2.0m Drop Height. Compare your graph for the height of successive bounces in problem A-29 to the graph for drop height versus bounce heioht that you investigated in Lesson A. Instead we see a rebound of less than 1.5 times the initial drop height, despite what the algebraic results would suggest. When the ball is held at its highest point, it has potential energy, specifically gravitational potential energy. Problem-Bouncing tennis ball : A tennis ball is dropped from a height of 100 inches. For this experiment, we used a bouncy ball, and tested how high it would bounce after being dropped from a certain height. This phase will involve students in analyzing the scatterplot of bounce height vs. drop height for a golf ball from Phase II, placing a line of best fit on the graph, and using the line to predict how high the golf ball would bounce if dropped from 60 cm. It consists of a base which is fixed. 2. The maximum kinetic energy it can gain is equal to the potential energy it can lose. As seen from the data table and the graph above, at 4.5 psi, it was at 1.281 meters. Discuss the types of energy. 2. Measure the maximum height of the first bounce. Results for drop height vs bounce height in case you don't have the equipment Should a graph ofrebound height vs. stalting height be continuous or ... How high will it bounce? v = √(2gh) Where v = velocity, g = 9.8m/s 2, and h = average height measured. Average the recorded bounce heights from each 50 cm trial together to find the average bounce height for the rubber ball. The lowest? 12. a. A solution to this problem was to assess drop jump performance by the ratio of jump height to ground contact time to give a single value, RSI, as an indicator of performance [67][68][69]. • Video-analysis software was used to calculate drop and bounce height. That was outside some of their ranges. According to the USTA regulations ball is tested for bounce by dropping it from a height of 100 inches (2.54 m) onto ; a bounce between 53 and 58 inches (1.3462 - 1.4732 m) is acceptable One problem; the linear relation between drop height and rebound height doesn't work if the height … Drop the ball from the line between cinder blocks/bricks to make the measurements more accurate. In conclusion the bounce height does depend on the drop height, and if I dropped a bouncy ball from 93inches it Test the predictions and modified the graph. You will not be able to read the numbers on the ruler but should be able to use the colors to calculate the height. After the bounce the rebound height should be considerably greater than the initial drop height, but that is … 2. In the experiment, "Bounce Height vs. Drop Height", we determined the bounce coefficients of a tennis ball, ping pong ball, and a golf ball. Graph the bounce height vs. drop height data. For any particular bounce, if the ball’s height is plotted as a function of time, the resulting graph has a parabolic shape. StripeM-Outer. This is why it does not bounce as high each time. Using the percentages of potential energy lost that I discovered, I was able to graph my data, which can be seen below. The pressure of the gas inside the ball ultimately determines how high the tennis ball will bounce. Average the recorded bounce heights from each 50 cm trial together to find the average bounce height for the rubber ball. The International Table Tennis Federation specifies that the ball shall bounce up 24–26 cm when dropped from a height of 30.5 cm on to a standard steel block thereby having a COR of 0.887 to 0.923. Think about the bouncing as … When did the ball have the greatest bounce height? Theory. In this formula s=displacement, u=initial velocity, a=acceleration and t=time. Repeat this procedure at least five more times. Since you could only estimate the height of each apex to the nearest 0.05 meters, you should express the value for your experimental “g” to only two decimal places. Which variable goes on each axis of the graph? get the bounce/drop ratio. 2. Height of Drop VS Bounce Another experiment we tested was the Height of Drop VS Bounce lab. the ball does not bounce), with a restitution value of 0. Give them a few minutes to predict from which height they need to drop it so that it bounces back to 77cm. To find the time, t, to drop 10 ft from rest, the mass is irrelevant, and so is the height of the subsequent bounce. Dependent Variable ? Calculate the acceleration due to gravity by using the kinematics equation s = v o t + ½at 2 and isolate the second half of the golf ball's bounce. A better question in this case is to ask if we drop a feather from a height, we see that the feather settles on the ground quietly. Does the ball ever come to rest, and if so, what total vertical distance will it have traveled? Rebound Ratios Many games depend on how a ball bounces. Drop the golf ball on the floor from 80 cm, repeating the rest of the above procedure. U have the drop distances and their times. Drop height vs Bounce height | scatter chart made by Greywind | plotly. Have a partner drop the rubber ball 5 times from the 75 centimeter mark and record the height in a table. Plot a graph of v return vs v impact (x-axis) then determine the COR. You drop a package from a plane flying at constant speed in a straight line. Use your graph to determine the rebound height if the ball was dropped from a height of 120 cm. Place the independent variable (the drop height) on the x-axis and place the dependent variable (the bounce height) on the y-axis. 3. Data Table 1: Average Bounce Height Dro Hei ht (cm) Trial 1 IOOcm 75cm 50cm 25cm Trial 2 Trial 3 Avera e Graph: Construct a line qraph showing the avergage bounce height of your ball. 14,250. Hello, I had tried to simulate the drop test using non-linear transient response analysis. Is the graph linear? In other words, the relationship between height and time for a single bounce of a ball is quadratic. The formula that we use is s=ut+1/2at^2. Now we are going to calculate to find out the impact force of the drop for all the heights. The energy loss can be expressed in terms of the coefficient of restitution,e, defined in the case of a rigid surface by e5v2 /v15Ah2 /h1, where v1 is the incident speed of the ball and v2 is the rebound speed. Draw abes tfi linefor th dat points. The bounce height (h D, but let’s call it b) belongs on the y–axis, and the drop height (h A, but let’s call it d) on the x–axis. Q. peakHeight = h0; % Initial drop height in meters. 3. Figuring out how high a ball gets given how long it spends in the air. There will be two graphs for this set of data, one for the Tennis Ball and one for the Golf Ball. Drop it again, and let it bounce twice. Have a partner drop the rubber ball 5 times from the 75 centimeter mark and record the height in a table. Just before the ball touches the ground, the velocity of the ball is the maximum. e = -1E-05T. In Graph 2, results from the experiment which investigated the effect of drop height (continuous data) on the bounce height (continuous data) of a tennis ball have been plotted as a line graph. Graph 1 shows the linear growth with its equation and r2 value. StripeM-Inner. 4. Method. Created by Sal Khan. Note: This is … Investigation 1 – Ball Bounce. Figure 6: Graph showing the y-position of center of mass of the tennis ball. If the first height is h, the second will be f*h, the third f*f*h, the fourth f*f*f*h, and so on. Repeat that height two more times. The data below shows the height of the ball after each bounce, which is called the rebound height. By: Varun Patel, Ann Marie Riccio, Austin Howard, Julia Nguyen and Lakshya Ramani The Relationship Between Ball Drop Height and Bounce Height Graph Graph Drop Height (Blks) vs. Calculate the acceleration due to gravity by using the kinematics equation s = v o t + ½at 2 and isolate the second half of the golf ball's bounce. Draw a position vs. time graph that shows the height of the ball (it should look like a wave). Procedure: Hold a ball at a distance of one meter from the surface of the table (diagram I). 4. Use pen or pencil and graph paper to plot a graph of your data, where falling height is the input (horizontal) value and rebound height is the output. Average bounce height = (0.175m + 0.180m + 0.205m) / 3 = 0.187m Bounce efficiency = Bounce height / drop height x 100% = 0.187m / 0.500m x 100% = 37.3% Note that the table and graphs are labelled (table 1, graph 1) this is important for clarity when you refer to the results found during the discussion section. You can use this as a guide for your own basketball pressure. Loading... Stripe Internal Communication Channel. For a hard linoleum floor with concrete underneath, a leather basketball has … Drop the golf ball from the same height 5 times, record the rebound height after the ball hits the floor.
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