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2.Motion in Straight Line
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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
$\frac{\int \limits_1^{t_2} a d t}{t_2+t_1}$
D
$\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$
Solution
(d)
Average acceleration $=\frac{\text { Change in velocity }}{\text { Time }} \Rightarrow a_{ av }=\frac{\int \limits_{t_1}^{t_2} a d t}{t_2-t_1}$
Standard 11
Physics
