An object is fired vertically upward with an initial speed of 68.6 meters/second.

After t seconds, the height is shown by y= -4.9t^2+68.6t meters. Given that this object has an initial speed of 68.6 m/s, what is the maximum height it will reach?

How long did it take the rocket to reach the maximum height?

1 answer

For the first part, use conservation of energy, and let Vo be the initial veloicty

(Vo^2)/2 = gH

Solve for maximum height H

H = 240 m

Time to reach maximum height
= H/V(average) = 240/34.3 = 7.43 s