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Question

Physics Question on Motion in a straight line

A car starts from rest and accelerates uniformly to a speed of 180km/h180\,km/h in 10s10\,s. The distance covered by the car in this time interval is

A

500 m

B

250 m

C

100 m

D

200 m

Answer

250 m

Explanation

Solution

Speed, v = 180 kmh1kmh^{-1} =50 ms1ms ^{-1} times t =10s
sence Acceleration of the car a =vut=50010\frac{v-u}{t}=\frac{50-0}{10}
5ms25 ms^{-2}
Thus the distance covered by the car
S=12at2=12×5×(10)2S=\frac{1}{2}at^2=\frac{1}{2}\times 5\times (10)^2 =250 m