First slide

Instantaneous acceleration

Question

Acceleration (a) – time (t) graph of a particle moving along a straight line is a shown in figure. If initial velocity of the particle is 4 m/s, velocity at the end of 4th second is

Moderate

A
24 m/s
B
18 m/s
C
22 m/s
D
16 m/s

Solution

$v_{4} = 4 + A r e a u n d e r a - t g r a p h = (4 + 8 \times 2 + \frac{1}{2} \times 1 \times 8 - \frac{1}{2} \times 1 \times 4) m / s = 16 m / s$

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