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**1. Homework Statement**

A projectile is fired horizontally from a gun that is 99.0 m above flat ground, emerging from the gun at a speed of 250 m/s

how long is it in the air?

how far does it travel horizontally?

vertical component of velocity as it strikes the ground?

**2. Homework Equations**

**3. The Attempt at a Solution**

To find how long it is in the air for, I built a y position function:

y = 99 + -4.9t^2

And solved for when y = 0 to get a t of 4.49 seconds.

To find how far it traveled horizontally, I built an x position function:

x = 250t

And solved for when t = 4.49 seconds to get 1122.5 meters traveled horizontally.

For the vertical component of velocity as it strikes the ground, I simply differentiated my y position formula and solved for t = 4.49 seconds, but this is incorrect. I'm not sure I fully understand what the "vertical component of velocity" is.

Thanks.