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Purpose: To observe how the speed changes for an object that is accelerating. To draw a position - time graph and a velocity - time graph of an accelerating object. Materials: - Ramp recording timer Dynamics cart 2 m of ticker tape 1.2m Procedure: 1. Set up a ramp so that the dynamics cart will accelerate as it moves down the slope. 2. Attach a piece of ticker tape to the cart and thread it through the timer. 3. Turn on the recording timer and release the cart. 4. Tape analysis: a) Draw a line through the first dot on the ticker tape that can be clearly distinguished. b) Count six dots and draw a line through the sixth dot. Continue to do this for the remainder of the tape. (every six dots represents 0.1 s) c) Measure the distance from the first line and record your distances in the chart below. Data: [3] Time Position Interval time Interval distance Average velocity (s) (cm) (S (cm) (cm/s) 0.00 0. 1 2-00 0.0 - 0.1 2.00 20 0.2 5.75 0.1 - 0.2 3- 75 37 . 5 0.3 2- 80 0.2 - 0.3 7. 05 70-5 0.4 20- 60 0.3 - 0.4 7. 80 78 0.5 30 - 20 0.4- 0.5 9 - 60 9 6 0.6 41 - 40 0.5 - 0.6 11- 20 112 0.7 54. 5 0.6-0.7 13- 10 131 0.8 69- 5 0.7 - 0.8 15. 00 150 0.9 8 6.4 0.8 - 0.9 6- 70 6 9 1.0 0.9 - 1.0 18. 60 86 1.1 1.0 - 1.1 1.2 1.1 - 1.2 1.3 1.2 - 1.3 1.4 1.3 - 1.4 1.5 1.4 - 1.5Accelerated Motion with Ticker Tape Timers Analysis: 1. Draw a position - time graph using the values in the first two columns of the chart. Draw a smooth curve to fit the plotted points. [3] 100 90 80 70 60 Position (cm) 50 40 30 20 10 O 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 time (seconds) 2. Draw a velocity - time graph using the values in the third (Use the middle of the time interval.) and fifth columns of the chart. Draw a straight line to fit the plotted points. [3] 100 90 80 70 60 Velocity (cm/s) 50 40 30 20 10 1 1.1 1.2 1.3 1.4 1.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0 0.1 0.2 time (seconds)Accelerated Motion with Ticker Tape Timers 3. Describe the shape of the position - time graph. Using the graph, did the car speed up, slow down or remain the same speed? [1] 4. Look at the fourth column in your chart. (circle appropriate answer) [1] a. Did the interval distance for each 0.1 s interval increase, decrease, or remain the same? b. Using interval distance as a reference, did the car slow down, speed up, or remain the same? 5. Describe the shape of the velocity - time graph. Using the graph, did the car speed up, slow down or remain the same speed? [1] 6. Look at the fifth column in your chart. (circle appropriate answer) [1] a. Did the interval velocity for each 0.1 s interval increase, decrease, or remain the same? b. Using interval velocity as a reference, did the car slow down, speed up, or remain the same? 7. Calculate the acceleration of the cart on the ramp. (Using your v-t graph. NOT your values from the data table. Show your work.) [2]