Suppose that an accelerating car goes from 0 mph to 65.5 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. t (s) | 0 | 1 | 2 | 3 | 4 | 5 v(t) (ft/s) | 0.00 | 32.73 | 56.73 | 74.18 | 87.27 | 96.00 average acceleration over the first second = average acceleration over the second second =
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Given that the velocity at 0 seconds is 0 ft/sec and the velocity at 1 second is 32.73 ft/sec, we can use the formula for average acceleration: Average acceleration = (final velocity - initial velocity) / time Average acceleration = (32.73 - 0) / 1 Average Show more…
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Key Concept: The Derivative
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