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Question: If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of...

If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of

A

20 m

B

400 m

C

1440 m

D

2880 m

Answer

400 m

Explanation

Solution

Herev=1446mukm/h=40m/sv = 144\mspace{6mu} km/h = 40m/s

v=u+atv = u + at40=0+20×aa=26mum/s240 = 0 + 20 \times a \Rightarrow a = 2\mspace{6mu} m/s^{2}

\therefore s=12at2=12×2×(20)2=4006mums = \frac{1}{2}at^{2} = \frac{1}{2} \times 2 \times (20)^{2} = 400\mspace{6mu} m