Arocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground. which equation can be used to determine the height of the rocket at a given time after the launch? (answer choices in picture)

 is equation of height of rocket.

Option D is correct.

Step-by-step explanation:

Given: A rocket is launched with speed 85 ft/s from a height 28  feet.

Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.

Parabolic equation of rocket is

Formula:

g ⇒ acceleration due to gravity (-32 ft/s)

v ⇒ Initial velocity ()

h ⇒ Initial height ()

h(t) ⇒ function of height at any time t

Substitute the given values into formula

D is correct.

The correct option is the last option

Step-by-step explanation:

The kinematic equation to calculate the position of a body on the vertical axis as a function of time is:

Where:

= initial position = 28ft

= initial velocity =

g = acceleration of gravity =

Then the equation sought is:

Finally:

The correct option is the last option

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.