How to solve this impossible algebra 2 problem?

Question

The height of a rocket shot into the air is modeled by the equation h(t)=-16t^2-6t+302. Where h is the height in meters of the ticket after t seconds.

Find the maximum height of the rocket and when it occurs and when does the rocket return back to earth.

Answer 1

There may be an error here...

When t = 0, we have h = +302. This suggests the rocket was launched from a platform 302 ft high. In that case, the trajectory is DOWN---as t increases, the height decreases.

OR: Is the rocket launched from 302 ft below the surface? (if so, - is up)

Please check and see if one of the signs is wrong

Answer 2

For the function

f(x) = ax² + bx + c

The maximum/minimum occurs at -b/2a

For the data that is at t = -(-6)/(2(-16)), or at t = -3/16

Check the accuracy of the formula.