What is the change in momentum between the initial and final poin… - Vidyadip

Question

What is the change in momentum between the initial and final points of the projectile path, if the range is maximum?

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Answer

Range is maximum. Therefore, the angle of projection is 45°. Since, the initial velocity, horizontally remains same throughout, there is no change in momentum in the horizontal. The vertical velocity of $\text{u}\sin45^\circ$ will be equal in magnitude but opposite in direction at these points.$\therefore$ Change in momentum $=2\text{mu}\sin45^{\circ}=\frac{2\text{mu}}{\sqrt{2}}=\sqrt{2}\text{mu}$

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