Problema Solution

A model rocket is launched with an initial upward velocity of 175ft/s . The rocket's height (in feet) after seconds is given by the following.

h=175t-16t^2

Find all values of for which the rocket's height is 85 feet.

Round your answer(s) to the nearest hundredth.

Answer provided by our tutors

Solution:

85 = 175t - 16t2

16t2 - 175t + 85 = 0

t = (175±√((-175)2 - 4(16)(85))) / 2(16)

t = (175±158.70) / 32

t = 10.43 seconds

t = 0.51 seconds