A ball is thrown vertically upward with initial velocity v. Find the maximum height H of the ball as a function of v. Then find the initial velocity v required to achieve a height of H.

gravity in this case will be 32ft/s^2

h = - (1/2) 32t^2 + vt.

Questions

1. Height H achieved with given initial velocity v:

2. Initial velocity v required to achieve given height H:

Question

Mathematics

Ansley Mcbride

14 June, 16:23

A ball is thrown vertically upward with initial velocity v. Find the maximum height H of the ball as a function of v. Then find the initial velocity v required to achieve a height of H.

gravity in this case will be 32ft/s^2

h = - (1/2) 32t^2 + vt.

Questions

1. Height H achieved with given initial velocity v:

2. Initial velocity v required to achieve given height H:

+4

Answers (1)

Know the Answer?

Lilia · Answer 1

A ball is thrown vertically upward with initial velocity v. Find the maximum height H of the ball as a function of v.

so the H is:

h = - (1/2) gt^2 + vt.

where g = 32 ft/s^2 or 9.8 m/s^2

so the initial velocity can be solve by rearranging the equation

h = - (1/2) gt^2 + vt.

h + (1/2) gt^2 = vt

v = h/t + (1/2) gt