Question

Three projectile $A,B$ and $C$ are thrown simultaneously from the same point in the same vertical plane. Their trajectories are shown in the figure. Then which of the following statement is false?

• A. The time of flight is the same for the three
• B. The launch speed is greatest for particle $C$
• C. The vertical velocity component for particle $C$ is greater than that for the other particles
• D. Y-coordinate of all particle is always same

Answer 1

Answer: (C)

The vertical velocity component for particle $C$ is greater than that for the other particles

Let $u$ and $\theta$ represent the projectile velocity and angle of projection with horizontal respectively.

Maximum height attained $H=\frac{u^{2}si{n}^2\theta }{2g}=\frac{u_y^2}{2g}$ $⟹u_y=\sqrt{2gH}$

$\therefore$ $H_A=H_B=H_C$ $⟹u_{y_A}=u_{y_B}=u_{y_C}$

Thus the vertical component of the velocity of the particles is same.

Hence option C is the right answer.