Need Help!!

Question

A model rocket is launched with an initial upward velocity of 195 ft/s. The rocket's height h (In Feet) after t seconds is given by the following. 

 

h=195t-16t² 

 

Find the values for t for which the rocket's height is 87 feet. 

 

Round your answer(s) to the nearest hundredth.

 

(If there is more than one answer, use the word "or")

Answer 1

You want to find t when height is 87. Plug height h = 87 into the formula and rearrange it so everything is on one side:

 

87 = -16t² + 195t

0 = -16t² + 195t - 87

 

 

Solve for t using the quadratic formula, where a = -16, b = 195, and c = -87.