First slide

Rectilinear Motion

Question

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 m/s to 20 m/s while passing through a distance of 135 m in time of “t” second. Then value of time “t” is

Moderate

A

12
B

9
C

10
D

1.8

Solution

$d i s p l a c e m e n t = (a v e r a g e v e l o c i t y) t i m e S = (\frac{U + V}{2}) t s u b s t i t u t e g i v e n v a l u e s i n i t i a l v e l o c i t y u = 10 m / s; f i n a l v e l o c i t y v = 20 m / s; d i s p l a c e m e n t s = 135 m i n a b o v e e q u a t i o n$
$135 = (\frac{10 + 20}{2}) t$
$\Rightarrow t = 9 \sec$

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