SOLUTION: I'm stumped about this problem. A rocket is fired into the air. The height of the rocket h(t) after t seconds is given by the formula h(t)=80t-16^2. After how many seconds is the

Question 64225This question is from textbook Intermediate Algebra through applications
: I'm stumped about this problem. A rocket is fired into the air. The height of the rocket h(t) after t seconds is given by the formula h(t)=80t-16^2. After how many seconds is the rocket 96 feet high
This is what I started:
h(t)=80-16^2
h(96)=80(96)-16(96)^2 Now I am lost???? Can you show me how to complete this problem? Thank you so Much! This question is from textbook Intermediate Algebra through applications

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
You have not written down the formula correctly
It is not (h(t)=80-16^2) but rather(h(t)=80t-16t^2)
You have also confused the time which is t with the height which is h(t) because the height varies with time.
You have to find the time (t)
h(t) means the height at that time t. You are told that it is 96.
so

Multiply both sides by -1

Divide both sides by 16

Factorise

so t=2 or t=3
So the rocket is at 96 feet after 2 seconds and again at 96 feet after 3 seconds as it comes back down again.

RELATED QUESTIONS
If a rocket is fired vertically into the air with a speed of 368 feet per second, its... (answered by nerdybill)

2. A toy rocket is fired into the air from the top of a barn. Its height (h) above the... (answered by Boreal)

PLEASE help me with this; I've been doing homework for hours and I don't know how to do... (answered by mananth)

If a rocket is fired vertically into the air with a speed of 304 feet per second, its... (answered by Boreal)

A model rocket is launced into the air and follows a parabolic path described by the... (answered by stanbon)

I hope someone can help me with this questions. A rocket is fired upward from the... (answered by checkley77)

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a... (answered by josgarithmetic)

Projet Motion. if h=-16t^2+96t represents the height of a rocket, in feet, t seconds... (answered by vleith)

Can someone help me with this problem please If a rocket is propelled upward from... (answered by oscargut)