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## Homework Statement

A projectile is fired at 57.5 deg above the horizontal. Its initial speed is equal to 175.0 m/s. Assume that the free-fall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height reached by the projectile? At what time being after being fired does the projectile reach this maximum height?

## Homework Equations

Y(t) = Y0 + Vy0t - 1/2at^2

## The Attempt at a Solution

I already figured out that the maximum height would be 1110 m. So I thought I could plug that into the equation above and figure out t.

1110 = 0 + 142.5t - 4.905t^2

How do I solve this? :/