Question

A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance $s_1$ in the first 10 seconds and distance $s_2$ in the next 10 seconds, then

• A. $s_2$ = $s_1$
• B. $s_2$ = $2 s_1$
• C. $s_2$ = $3 s_1$
• D. $s_2$ = $4 s_1$

Answer 1

Answer: (C)

$s_2$ = $3 s_1$

Answer 2

Let a be the constant acceleration of the particle. Then $s = ut + \frac{1}{2} at^2$ or $s_1 = 0 + \frac{1}{2} \times a \times (10)^2 = 50 a$ and $s_2 = \left[ 0 + \frac{1}{2} a (20)^2\right] - 50a = 150 a$ $\therefore \, s_2 = 3s_1$