First slide

Different question variety formed

Question

The acceleration a (in ms^-2) of a body, starting from rest varies with time t (in s) following the equation a = 3t + 4. The velocity of the body at time t = 2 s will be

Moderate

A

10 m s^-1
B

18 m s^-1
C

14 m s^-1
D

26 m s^-1

Solution

$v = u + \int_{0}^{t} a d t = 0 + \int_{0}^{2} (3 t + 4) d t = \frac{3}{2} \times 2^{2} + 4 \times 2 = 14 m s^{- 1}$

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