Chapter 7, Problem 2TC

Three boys on three towers of the same height toss a ball at the velocities shown. Compare the horizontal distances from the tower that the balls travel when hitting the ground, from greatest range to least.

To determine

The comparison between the horizontal distances between the balls thrown from tower A, tower B and tower C.

Answer to Problem 2TC

The horizontal distances of the ball from tower A is greatest, from tower C is least and from tower B is between the horizontal distance from tower A and tower C.

Explanation of Solution

The horizontal distance of a projectile depends on the speed and angle of projection of the projectile. The horizontal distance of the projectile varies due to variation in the speed and angle of projection. If the different projectiles were thrown at same speed, then the horizontal distances of the projectiles only depend on the projection angles.

The speed of the balls thrown from the tower A, tower B and tower C is 10 m/s, so the horizontal distances of the ball from every tower do not depend on the speed of the ball.

The angle of projection for the ball thrown is maximum, so the horizontal distance of the ball from tower A is greatest. The angle of projection is least for the ball thrown from the tower C.

Conclusion:

Therefore, The horizontal distances of the ball from tower A is greatest, from tower C is least and from tower B is between the horizontal distance from tower A and tower C.