- #1
1MileCrash
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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?
Homework Equations
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.