# Calculus Antiderivative Problem

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A car traveling at 46 mph decelerates at 21 feet per second per second.

a). How long does it take for the car to come to a complete stop?
b). What distance is required to bring the car to a complete stop? An

• Calculus Antiderivative Problem -

convert 46 mph to ft/s. If that value is c, then

v = c-21t
solve for t when v=0

the distance s is

s = ct - 10.5 t^2

• Calculus Antiderivative Problem -

-51.6

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