Question

How do you prove that a 100 mi/h pitch thrown horizontally by a major league player will hit the ground in the same amount of time as a 10 mi/h pitch thrown from the same height by a child

Answer 1

The time taken for the balls to hit the ground depends only on the vertical component of the motion, not the horizontal speed. The time of flight can be calculated using the equation: time = square Root(2 * height / g). For both the major league player's pitch and the child's pitch, the time of flight will be the same.

Step-by-step explanation:

In both cases, the time taken for the balls to hit the ground depends only on the vertical component of the motion, not the horizontal speed. The time of flight can be calculated using the equation:

time = square Root(2 * height / g)

where g is the acceleration due to gravity (approximately 9.8 m/s^2 or 32 ft/s^2).

For the child's pitch, the height is the same as the height from which the ball is dropped (elevation of 1.5 meters), resulting in the same time of flight as the major league pitch.

The primary topic of this question is projectile motion, and the SEO keywords are 'projectile motion', 'time of flight', 'horizontal speed'.