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

Derrick Allen

Physics

28 August, 16:35

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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Halle Carter · 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