The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct ?

Step-by-step solution

Let the upward direction be considered positive. When a ball is thrown vertically upward with an initial velocity u , it moves under the constant downward acceleration due to gravity ( a = -g ). The velocity v at any time t is given by the kinematic equation: v = u + at v = u - gt This equation represents a straight line with a positive y-intercept ( u ) and a constant negative slope ( -g ). Initially, the velocity is positive and decreases linearly until it becomes zero at the highest point. As the ball falls back