Question

To celebrate a victory, a pitcher throws her glove straight upward with an initial speed of 7.73 m/s. What is the maximum height the glove could reach?

a) Use the formula v^2f = v^2o + 2a(df - do)
b) 7.73 m
c) Insufficient information provided
d) The glove will not reach any maximum height

Answer 1

The maximum height the glove could reach is 2.96 meters.

Step-by-step explanation:

Given the initial speed of the glove, the maximum height it will reach can be determined using the formula v2f = v2o + 2a(df - do), where vf is the final velocity, vo is the initial velocity, a is the acceleration, df is the final position, and do is the initial position. Since the glove is thrown straight upward, the final velocity will be zero at the maximum height. The acceleration is -9.8 m/s² due to gravity, and the initial position and final position are both 0. Plugging in the provided initial velocity, the formula becomes 0 = (7.73 m/s)2 + 2(-9.8 m/s²)(df - 0). Solving for df, we get df = 2.96 m. Therefore, the maximum height the glove could reach is 2.96 meters.