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JEE Main 2005

Exam: JEE Main
Year: 2005
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2005 · Physics · Motion in One Dimension

The relation between time t and distance x is t=a x^2+bx where a...

The relation between time

t

and distance

\mathrm{x}

is

\mathrm{t}=a \mathrm{x}^2+\mathrm{bx}

where

\mathrm{a}

and

\mathrm{b}

are constants. The acceleration is

Options

A $-2 a b v^2$
B $2 b v^3$
C $-2 a v^3$
D $2 a v^2$

Correct answer

C. $-2 a v^3$

Step-by-step solution

t=a x²+b x by differentiating acceleration

=-2 a v^3

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