First slide

Instantaneous acceleration

Question

Velocity of a particle moving along a straight line is given by V = 2x² m/s where x is displacement in metre. Then acceleration of the particle when x = 2m is

Moderate

A
24 m/s2
B
15 m/s2
C

64 m/ $s^{2}$
D
32 m/s2

Solution

a = v $\frac{d v}{d x} = (2 x^{2}) (4 x) = 8 x^{3} T h e r e f o r e a t x = 2 m, a = 64 m / s^{2}$

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