# Math Help - rocket in my pocket

1. ## rocket in my pocket

How would you go about solving this?

A rocket is fired into the air and it's height in metres at any given time t seconds can be calculated by h(t)=225+ 49t-0.98t(squared). Find the maximum height of the rocket and the time at which it occurs.

2. Originally Posted by math619
How would you go about solving this?

A rocket is fired into the air and it's height in metres at any given time t seconds can be calculated by h(t)=225+ 49t-0.98t(squared). Find the maximum height of the rocket and the time at which it occurs.
The squared coefficient is $a=-.98$
The linear coefficient is $b=49$.

We have a turning point at,
$x=\frac{-b}{2a}=\frac{-49}{2(-.98)}$