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Wednesday, September 16, 2015

Car stopping dynamics

A car is traveling at a speed of 80 ft/s when the brakes are suddenly applied, causing a constant deceleration of 10 ft/s2. Determine the time required to stop the car and the distance traveled before stopping.

This problem can be solved using the dynamic formulas for constant acceleration,

V = V0 + a*t

80 = 0 - 10*t

t = 8 seconds

The distance can be found,

V2 = V02 + 2as

802 = 02 - 2*10*s

s = 320 ft

So,

t = 8 s, s = 320 ft

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