A motorist traveling at 18 m/s encounters a deer in the road 48 m ahead. If the maximum acceleration the vehicle's brakes are capable of is - 6 m/s 2, what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer? Answer in units of s.

Question

Physics

Alfredo Camacho

4 August, 11:24

A motorist traveling at 18 m/s encounters a deer in the road 48 m ahead. If the maximum acceleration the vehicle's brakes are capable of is - 6 m/s 2, what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer? Answer in units of s.

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Answers (1)

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Maverick Spears · Answer 1

Speed = 18 m/s

Distance = 48 m

Deceleration = - 6 m/s 2

Time = Speed / Distance

= 18 / 48 = 0.375 s 2

Time - deceleration = 0.375 - (-6)

= 6.375 s 2

So total time reaction is 6.375 s 2