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A car moving along a straight way with speed of 120km/h is brought to rest at a shop with distance of 200 meters how long does it take the car to stop.
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Answer:
4 sec
Explanation:
first ,
initial velocity u = 120 km/h
so lets convert it into m/s
i.e. 120*1000/3600
= 100/3 m/s
now the car is going to be stop so
final velocity v =0
In this case acceleration is constant
hence v = u + at
0 = 100/3 + at
at = - 100/3 ----[1]
now put this value in the formula of distance
distance = ut +1/2 at^2
200 = [-100/3] t +1/2 at*t
200 = [-100/3] t +1/2 [-100/3] t from equation [1]
200 = [-100/3] t (1+1/2) [-100/3] t is common
200*3/ 100 t = 3/2
t = 4 sec
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