Assume you are driving a car at a constant speedof 82.0 km/h. Suddenly you see a

Question

Assume you are driving a car at a constant speedof 82.0 km/h. Suddenly you see a deer standing on the highway andyou must put on the brakes. Your reaction time (time elapsedbetween the moment you see the deer and your foot hitting thebrakes) is 0.118 sec. The brakes provide an acceleration of -4.1m/s2. Calculate the totaldistance (in m) traveled by the car before stopping.
Assume you are driving a car at a constant speedof 82.0 km/h. Suddenly you see a deer standing on the highway andyou must put on the brakes. Your reaction time (time elapsedbetween the moment you see the deer and your foot hitting thebrakes) is 0.118 sec. The brakes provide an acceleration of -4.1m/s2. Calculate the totaldistance (in m) traveled by the car before stopping.
Calculate the totaldistance (in m) traveled by the car before stopping.

Explanation / Answer

first convert:   82.0 km/hr =    22.778 m/s . then find distance traveled during your reactiontime:    d = vt = 22.778 * 0.118 = 2.6878 meters . then find distance traveled while brakes are applied: .      v final2 = vinitial2   + 2 a d .        0       =    22.7782   +   2 * -4.1 * d .           d =    63.27 meters .    total distance =   2.6878 + 63.27   =   65.96 meters

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