Question

A model rocket is shot upward at a rate of 230 ft/sec. The height of the rocket, in feet, after t seconds

is given by the formula h=16t² + 230t. Answer the following question and round to the nearest tenth where applicable. Be sure to show all of your algebraic work and formulas.

When will the rocket reach its highest point?

Answer 1

Explanation:

given the formula

`h(t)=16t^(2)+230t`

Find the axis of symmetry

`t=(-b)/(2a)`

Notice the function is of the form

`h(t)=at^(2)+bt`

where

`a=16, b=230`

To find the time at which the rocket reached its highest point, use the formula for the axis of symmetry. Substitute 16 for a and 230 for b. This gives you,

`t=(-(230))/(2(16))`

simplify the arithmetic expression..

`t=(-230)/(32)`

`t`≈-7.2 seconds

I THINK the answer should be -7.2 seconds but I do not know how this would really play into the problem being that seconds should be positive, not negative... hope this helps!