To practice Problem-Solving Strategy 2.1 Motion with constant acceleration You a

Question

To practice Problem-Solving Strategy 2.1 Motion with constant acceleration

You are driving down the highway late one night at20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2 . How much distance is between you and the deer when you come to a stop?

Sort the variables for the period from t2=0.5s until the car comes to rest, at time t3, based on whether their values are known or unknown. variables are ax delta t xinitial vinitial vfinal xfinal

Explanation / Answer

Here ,

inital speed , u = 20 m/s

final speed , v = 0 m/s

deceleration , d = 10 m/s^2

Uisng third equation of motion

v^2 - u^2 = 2 * a * d

0 - 20^2 = - 2 * 10 * d

d = 20 m

distance between deer and me = 35 - 0.5 * 20 - 20

distance between deer and me = 5 m

distance between deer and me when car stop is 5 m

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