Question

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function h(t)-144t-16t^2 where t is the time in seconds. When will the rocket return to the ground?

Answer 1

Answer:

t = 4.5 second

Explanation:

A toy rocket travels at an initial velocity of 144 feet per second. The height of the rocket can be modeled by the function as follows :

$h(t)=-16t^2+144t$

t is time in seconds

We need to find the time when the rocket return to the ground.

When it reaches ground, h(t) = 0

So,

$-16t^2+144t=0\\\\t(-32t+144)=0\\\\t=0\ \text{and} -32t+144=0\\\\t=0\ \text{and}\ t=4.5\ s$

So, at 4.5 second the rocket will return to the ground.