Question

The acceleration-time graph of a body is shown in the figure. Its velocity-time graph can be given as

• A.
  
  
• B.
  
  
• C.
  
  
• D.
  
  

Answer 1

The correct option is A



We know that the slope of a v-t curve is acceleration, so constant acceleration means linear v-t curve,

From $0$ to $t_1$, acceleration is constant. Hence velocity increases uniformly. From $t_1$ to $t_2$, acceleration is zero, suggesting slope of v-t curve is zero. Hence velocity is constant and from $t_2$ to $t_3$, acceleration is constant and negative, i.e velocity decreases constantly.