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A ball starts with velocity 0 and accelerates down a ramp of length 30 cm, covering the distance in 5 seconds.
• What is its average velocity?
30cm / 5 sec = 6 cm/sec
• If the acceleration of the ball is uniform then its average velocity is equal to the average of its initial and final velocities.
Final velocity = 2 * 6cm/sec = 12 cm/sec
vAve = (0cm/sec + 12cm/sec) / 2 = 6cm/sec
• You know its average velocity, and you know the initial velocity is zero. What therefore must be the final velocity?
12cm/sec
• By how much did its velocity therefore change?
12cm/sec
• At what average rate did its velocity change with respect to clock time?
12cm/sec / 5sec = 2.4cm/sec/sec
• What would a graph of its velocity vs. clock time look like? Give the best description you can.
A line from (0, 0) to (5, 12) with a slope of 2.4 cm/s/s
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20 mins
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&#Very good work. Let me know if you have questions. &#