Question

Velocity-time graph of a particle in straight line motion is in shape of a semiciecle of radius R as shown in figure . Its average acceleration from t = 0 to t = R is

• A. 0 m/$s^2$
• B. 1 m/$s^2$
• C. R m/$s^2$
• D. 2R m/$s^2$

Answer 1

Answer: (B)

1 m/$s^2$

At $t_1=0sec$, velocity, $v_1=0m/s$

At $t_2=Rsec$, velocity, $v_2=Rm/s$

The average acceleration, $a=\frac{v_2-v_1}{t_2-t_1}$

$a=\frac{R-0}{R-0}=1m/s^2$

The correct option is B.