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Question

Physics Question on Motion in a straight line

If a car at rest accelerates uniformly to a speed of 144 km/hour in 20 second it covers a distance of

A

400 m

B

1440 m

C

2880m

D

25m

Answer

400 m

Explanation

Solution

u = 0, v = 144 km/hour =144×518m/sec = 144 \times \frac{5}{18} m/ \sec
=40/m/sec= 40 / m / \sec
v=u+atv = u + at
a=vut=40020=2m/sec2\Rightarrow \, a = \frac{v - u}{t} = \frac{40 - 0 }{20} = 2 m / \sec^2
s=ut+12at2\therefore \, s = ut + \frac{1}{2} at^2
=12×2×(20)2=400m= \frac{1}{2} \times 2 \times (20)^2 = 400 m