Answer :
The subject of this question is projectile motion. The baseball falls 2.77 feet vertically while it travels to the home plate, based on the speed at which it's thrown and the distance to the home plate.
In this physics problem, we need to find out how far the baseball falls vertically while moving a horizontal distance. We know that a baseball pitcher throws the ball at 99.0 mi/h horizontally and the home plate is 60.5 ft away.
We must first convert the speed to feet per second by using the conversion factor (1 mile = 5280 feet, 1 hour = 3600 seconds). So, 99 mi/hr = 145.2 ft/s.
The time the baseball takes to reach the home plate is 60.5ft / 145.2 ft/sec = 0.4167 seconds.
Galileo's law of falling bodies states that a body falls under gravity travels a distance proportional to the square of the time, given by the formula d = 0.5 * g * t^2 where g is the gravity constant, 32.2 ft/sec^2.
Substituting t = 0.4167s, d = 0.5 * 32.2 ft/sec^2 * (0.4167 sec)^2 = 2.77 ft.
So the baseball falls 2.77 feet vertically while it travels to the home plate.
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The probable question may be:
7. [-/10 Points] DETAILS SERCP11 3.2.OP.008 MY NOTES ASK YOUR TEACHER A baseball pitcher throws a ball at 99.0 mi/h in the horizontal direction. How far does the ball fall vertically by the time it reaches home plate, which is a horizontal distance of 60.5 ft away? (Express your answer in units of feet. Neglect air resistance.) ft Viewing Bed Work Revert to Law ponse MY NOTES ASK YOUR TEACHER 7. [-/10 Points DETAILS SERCP11 3.2.OP.008 A baseball pitcher throws a balat 99.0 mi/h in the horizontal direction. How far does the ball fall vertically by the time it reaches home plate, which is a hortzontal distance of 60.5 wway? (Express your answer in units of feat. Neglect air resistance).
