1. Car A starts from rest at t =0, and travels along a straight road with a cons

Question

1. Car A starts from rest at t =0, and travels along a straight road with
a constant acceleration of 2 m/s2 until it reaches a speed of 27 m/s.
afterwards it maintains this speed. Also, when t =0, car B located 2000 m
down the road is traveling towards A at a constant speed of 20 m/s.
Determine the distance traveled by car A when they pass each other.

Explanation / Answer

Let total time taken be t Now V^2-U^2=2a*s V=U+at final vlocity is given as 27 m/s so time taken to reach 27 m/s=v/a=13.5 sec Distance covered in dat time =s=ut+0.5at^2=13.5^2=182.25 therefore assuming t>13.5 distance covered by a =182.5+(t-13.5)*27 Distance covered by B=v*t=20*t A+B ddistances=2000 mts 182.5+(t-13.5)*27+20*t=2000 t=46.4 s Wen know distance traveled by A=2000-Distance by B in that time threfore distance travelled by A= 2000-20*46.4=1071 mts

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