Question

The velocity-time graph of a particle is shown below. What is the acceleration of the particle?

• A. $0.5m{s}^{-2}$
• B. $1.5m{s}^{-2}$
• C. $3.5m{s}^{-2}$
• D. $4m{s}^{-2}$

Answer 1

The correct option is A

$0.5m{s}^{-2}$

We know acceleration is the rate of change of velocity.

So. acceleration $a=\frac{\text{change in velocity}}{\text{time}}$.

From the graph, initial velocity $u=1m{s}^{-1}$ at time $t_1=2s$ and final velocity $v=2m{s}^{-1}$ at time $t_2=4s$.

Therefore $a=\frac{2-1}{4-2}=\frac{1}{2}=0.5m{s}^{-2}$

Hence, acceleration of the particle is $0.5m{s}^{-2}$.