Question

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

• A. $1.5m{s}^{-2}$
  
• B. $2.5m{s}^{-2}$
  
• C. $0.5m{s}^{-2}$
  
• D. $1m{s}^{-2}$
  

Answer 1

The correct option is C

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

Since the velocity is increasing uniformly, acceleration is constant and it is equal to the slope of the velocity-time graph.
Here, let us suppose $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(4,2)$
Acceleration = Slope of velocity- time graph
Slope = $\frac{y_2-y_1}{x_2-x_1}$ = $\frac{2-0}{4-0}=0.5m{s}^{-2}$
Hence, acceleration of particle = $0.5m{s}^{-2}$