Word Problem

Question

A rocket takes off from a height of 30 feet with an initial velocity of 150 ft/sec. The equation that models the path that the rocket takes is: (G)x = -16t^2 + 150t + 30. When will the rocket reach the ground?

Answer 1

I will outline the procedure for you and you can take it from there.

 

The height of the rocket as a function of time is

 

h(t) = -16t² + 150t + 30

 

When it reaches the ground, h(t) = 0.

 

0 = -16t² + 150t + 30

 

Solve the quadratic for t.  You will get two solutions, such as a negative t and a positive t.  Only the solution of positive t is physically realistic.  Try to work it out, and post a comment if you need further help.