First slide

Rectilinear Motion

Question

Two cars A and B are at rest at the origin O. If A starts with a uniform velocity of 20 m/s and B starts in the same direction with a constant acceleration of 2m/ $s^{2}$ , then the cars will meet after time

Easy

A

10 sec
B

20 sec
C

30 sec
D

40 sec

Solution

$L e t t h e c a r s m e e t a f t e r t i m e t . A h a s u n i f o r m m o t i o n : S = 20 t - - - (1) B h a s a c c e l e r a t e d m o t i o n : S = \frac{1}{2} \times 2 \times t^{2} - - - (2) E q u a t i n g (1) a n d (2) w e g e t 20 t = t^{2} \Rightarrow t = 20 s e c o n d = c a r s m e e t i n g t i m e$

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