A ball is hit by a baseball bat straight up at 24.0 m/s. The bat is 1.2 m above the ground How long will it take for the ball to reach its highest point? How high will the baseball travel?

a. 2.45 s b. 30.6 m

Explanation:

a. How long will it take for the ball to reach its highest point?

Using v = u - gt, we find the time it takes the ball to reach the highest point where v = velocity of ball at highest point = 0 m/s (since it momentarily stops), u = initial vertical velocity ball = 24.0 m/s (since it was hit straight up), g = acceleration due to gravity = 9.8 m/s² and t = time taken to reach highest point.

v = u - gt

t = (u - v)/g

t = (24.0 m/s - 0)/9.8 m/s²

t = 24.0 m/s ÷ 9.8 m/s²

t = 2.45 s

b. How high will the baseball travel?

Using y - y₀ = ut - 1/2gt² where y = maximum height of baseball, y₀ = height of bat above the ground where the ball was hit = 1.2 m, u = initial  vertical velocity of ball = 24.0 m/s, g = acceleration due to gravity = 9.8 m/s² and t = time taken to reach highest point = 2.45 s

Substituting these values into the equation, we have

y - y₀ = ut - 1/2gt²

y - 1.2 m = 24.0 m/s × 2.45 s - 1/2 × 9.8 m/s² × (2.45 s)²

y - 1.2 = 58.8 - 29.41

y - 1.2 = 29.39

y = 29.39 + 1.2

y = 30.59 m

y ≅ 30.6 m

all of the answers are correct.

falsification is manipulating research materials, equipment, or processes or changing or omitting data or results such that the research is not accurately represented in the research record. plagiarism is the appropriation of another person's ideas, processes, results, or words without giving appropriate credit.

explanation:

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.