While traveling on the highway with your 1000kg car, at 115.2km/h , where you’re

Question

While traveling on the highway with your 1000kg car, at 115.2km/h, where you’re ABS (automatic braking system) is disabled. This means braking is relying solely on the friction of your tires with the road when they stop spinning. A dear jumps into the road 50 meters in front of you. If the frictional force created by you slamming on your brakes is 4000N. What will your final stopping distance be? Will you hit the dear? Assume no air resistance.

a)Stopping distance 100 m, will not hit the dear

b)Stopping distance 128 m, will hit the dear

c)Stopping distance 100 m, will hit the dear

d)Stopping distance 128 m, will not hit the dear

Explanation / Answer

answer is (b)

F=ma

So, a=F/m = -4000/1000=-4 m/s^2

v=115.2km/h = 32m/s

t=32/4=8

d=vt +1/2at^2

d=32*8+.5*-4*64=128m

50m<128m - hit deer

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