Deer in Headlights Assume yala are triving a car at a ranstant speed nr RO.0 km/

Question

Deer in Headlights Assume yala are triving a car at a ranstant speed nr RO.0 km/h. 5ucdenly you see a tear standing on the highway and you must pilt an the brakes. Ymur reaction time (time clapsed hetween the moment you see the deer and your taot hitting the hrakes) is n.1 11 ser. The brakes ernvide an arraleration with a magnitude ot 4.2 m/R2, and a dinartinn opposite the initial valority. Finn the distanca (in m) tha car travals xat Ro.o kmWh) during your reantinn time. Submit Answer Trics o/13 Calculate the total distance (in m) travoled by the :ar before stopping.

Explanation / Answer

Initial speed u = 80 km / h
= 80 * ( 5/ 18 ) m / s
= 22.22 m / s
Reaction time t= 0.111 s
So, distance travel in reaction time S = ut = 2.466 m

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Accleration a = - 4.2 m / s^ 2
Final velocity v = 0
Distance travelled after applying breakes S ' = [ v^ 2-u^ 2] / 2a
= 58.77 m
So, total distance travelled by the car before stopping = S + S' = 61.24 m

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