A car accelerates from 0 mph to 25 mph. Its velocity at time t is v(t) = 5t mph, where t is in seconds. Use an integral to find the total distance in miles it travels during its acceleration. (Hint: work with seconds, not hours.)
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We need to find the total distance traveled by a car as it accelerates from 0 mph to 25 mph. The velocity of the car at any time \(t\) is given by \(v(t) = 5t\) mph, where \(t\) is in seconds. To find the distance, we need to integrate the velocity function over Show more…
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