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

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2.Motion in Straight Line

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

A

$20 $

B

$400 $

C

$1440$

D

$2880 $

(AIPMT-1997)

Solution

(b) Here $v = 144\;km/h = 40\,m/s$

$v = u + at$

$⇒$ $40 = 0 + 20 \times a \Rightarrow a = 2\;m/{s^2}$

$\therefore s = \frac{1}{2}a{t^2} = \frac{1}{2} \times 2 \times {(20)^2} = 400\;m$

Standard 11

Physics

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