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Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. It

ID: 2851900 • Letter: S

Question

Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 ft/sec.) Find the average acceleration of the car over each of the first two seconds

average acceleration over the first second =

average acceleration over the second second =

include units

HINT acceleration is the second derivative of the position function so the answers are not 29.32 and 21.5

t (s) 0 1 2 3 4 5 v(t)(ft/s) 0.00 29.32 50.82 66.45 78.18 86.00

Explanation / Answer

Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. It

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