Question

A baseball pitcher throws a ball horizontally at a speed of 30.2 m/s. A catcher is...

A baseball pitcher throws a ball horizontally at a speed of 30.2 m/s. A catcher is 19.0 m away from the pitcher. Find the magnitude, in meters, of the vertical distance that the ball drops as it moves from the pitcher to the catcher. Ignore air resistance.

Homework Answers

Answer #1

To determine the vertical distance, we need to know the time the ball is in the air. Use the ball’s horizontal velocity and the distance in the following equation.

d = v * t
19 = 30.2 * t
t = 19 ÷ 30.2

This is approximately 0.629 seconds. Use this time in the following equation to determine the vertical distance that the ball drops.

d = vi*t +0.5* a * t2
vi is the ball’s initial vertical velocity. This is 0 m/s. a = 9.8 m/s^2

d = 0.5*9.8*(19/30.2)2

d= 1.939 meter.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95...
A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95 mi/h). Before being caught, the baseball travels a horizontal distance of 17.6 m and rotates through an angle of 48.1 rad. The baseball has a radius of 3.67 cm and is rotating about an axis as it travels, much like the earth does. What is the tangential speed of a point on the "equator" of the baseball?
A baseball pitcher throws a pitch with an initial velocity of 46.0 m/s, directed horizontally. How...
A baseball pitcher throws a pitch with an initial velocity of 46.0 m/s, directed horizontally. How far does the ball drop vertically by the time it crosses the plate 18.0 m away?
2.) A pitcher throws a curveball that reaches the catcher in 0.67 s. The ball curves...
2.) A pitcher throws a curveball that reaches the catcher in 0.67 s. The ball curves because it is spinning at an average angular velocity of 260 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?
A pitcher throws a 0.15 kg baseball so that it crosses home plate horizontally with a...
A pitcher throws a 0.15 kg baseball so that it crosses home plate horizontally with a speed of 15 m/s. The ball is hit straight back at the pitcher with a final speed of 29 m/s. (Assume the direction of the initial motion of the baseball to be positive.) (a) What is the impulse delivered to the ball? kg·m/s (b) Find the average force exerted by the bat on the ball if the two are in contact for 2.0 ✕...
A pitcher throws a 0.140-kg baseball, and it approaches the bat at a speed of 30.0...
A pitcher throws a 0.140-kg baseball, and it approaches the bat at a speed of 30.0 m/s. The bat does Wnc = 60.0 J of work on the ball in hitting it. Ignoring air resistance, determine the speed of the ball after the ball leaves the bat and is 25.0 m above the point of impact. As far as I know the ball does move in a straight line. This is the entire question.
A pitcher throws a 0.140-kg baseball with a speed of 28.9 m/s. The batter strikes it...
A pitcher throws a 0.140-kg baseball with a speed of 28.9 m/s. The batter strikes it with an average force of 5000 N which results in the ball traveling with an initial speed of 37.0 m/s toward the pitcher. For how long were the bat and ball in contact? 1.32 × 10-2 s 4.44 × 10-3 s 3.17 × 10-2 s 1.85 × 10-3 s
The pitcher throws a pitch from the mound towards home plate 18.4 meters away. The ball...
The pitcher throws a pitch from the mound towards home plate 18.4 meters away. The ball is released horizontally from a height of 2 m with a velocity of 42.0 m/s. Find the height above the ground when it gets there.
A pitcher throws a 0.19-kg baseball ball with a velocity of 42 m/s. It is struck...
A pitcher throws a 0.19-kg baseball ball with a velocity of 42 m/s. It is struck by the bat with an average force of 700 N, which results in a velocity of 28 m/s in the opposite direction from the original velocity. How long were the bat and ball were in contact?
A 0.14 kg baseball moves horizontally with a speed of 34 m/s toward a bat. After...
A 0.14 kg baseball moves horizontally with a speed of 34 m/s toward a bat. After striking the bat the ball moves vertically upward with 40% of its initial speed. Find the direction and magnitude of the impulse delivered to the ball by the bat. ° (measured from the initial direction of the ball) kg·m/s
A pitcher throws a baseball from a height of 2.5 meters with a velocity of 21...
A pitcher throws a baseball from a height of 2.5 meters with a velocity of 21 m/s. How long before the ball hits the ground? How far will the ball travel?