Question

"A ball of mass (m) is thrown vertically into thefêir with an initial speed (v). Which of the following equatjons correctly descriotes the maximum height (h) of the ball?

a. h=2mv ∕ g
b. h=mv² ∕ g
c. h= √v ∕ 2g
d. h=v² ∕ 2g"

Answer 1

The correct equation for the maximum height of the ball is h = v² / (2g), where v is the initial velocity and g is the acceleration due to gravity.

Step-by-step explanation:

The correct equation that describes the maximum height (h) of a ball thrown vertically into the air with an initial speed (v) is:

h = v² / (2g)

This equation defines the maximum height of a projectile and depends only on the vertical component of the initial velocity. The value of g represents the acceleration due to gravity, which is approximately 9.8 m/s² on Earth.