A body is moving with variable acceleration (a) along a straight … - Vidyadip

MCQ

A body is moving with variable acceleration $(a)$ along a straight line. The average acceleration of body in time interval $t_1$ to $t_2$ is

A
$\frac{a\left[t_2+t_1\right]}{2}$
B
$\frac{a\left[t_2-t_1\right]}{2}$
C
$\frac{\int \limits_1^{t_2} a d t}{t_2+t_1}$
✓
$\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$

✓

Answer

Correct option: D.

$\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$

d
(d)

Average acceleration $=\frac{\text { Change in velocity }}{\text { Time }} \Rightarrow a_{ av }=\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$

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