A particle starting from rest and moving with a uniform acceleration along a straight line covers di

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2.Motion in Straight Line

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A particle starting from rest and moving with a uniform acceleration along a straight line covers distances $a$ and $b$ in successive intervals of $p$ and $q$ second. The acceleration of the particle is

A

$\frac{a+b}{2(p+q)}$

B

$\frac{2 b}{(q+2 p) q}$

C

$\frac{2 a}{p(p+2 p)}$

D

$\frac{a+b}{(p+q)^2}$

Solution

(b)

Let $x$ be the acceleration. Then

$a=\frac{1}{2}\,x p^2$

$a+b=+\frac{1}{2} x(p+q)^2$

Solving these two equations, we get

$x=\frac{2 b}{(q+2 p) q}$

Standard 11

Physics

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