First slide

Graphical representation-Motion in 1 d

Question

A particle moving along a straight line whose velocity position graph is as shown in figure. The acceleration of particle when it is at x=3m is

Moderate

A

$\sqrt{3} m / s^{2}$
B

$2 \sqrt{3} m / s^{2}$
C

$- 3 \sqrt{3} m / s^{2}$
D

$- 4 \sqrt{3} m / s^{2}$

Solution

The acceleration of particle at any instant is given by
$a = v . \frac{d v}{d x} = 4 \{- \tan 60\} = - 4 \sqrt{3} m s^{- 2}$

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