Chapter 3, Problem 13Q

Solution

To Determine:

If the water balloons will hit each other.

Solution:

They hit each other.

Explanation:

The distance between both the persons is same. Assume that both persons impart hight enough velocity for them to hit the other person. The balloons would undergo projectile motion.

The equation of trajectory is:

  $y=xan\theta -\frac{1}{2}\frac{g{x}^2}{v^2{\cos }^2\theta }$

The vertical displacement ( y ) is equal, the horizontal displacement ( x ) is equal, g is the acceleration due to gravity, the angle of projectile ( $\theta$ ) is equal as they are aiming at each other and we have assumed that both the persons throw the balloons at high enough speed to reach each other.

From the trajectory equation, both the water balloons would hit each other.