(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An artillery shell is fired with an initial velocity of 300 m/s at 55.0 degrees above the horizontal. It explodes on a mountainside 42.0 seconds after firing. What are the x and y coordinates of the shell where it explodes, relative to it's firing point?

We know that it is fired at 300 m/s. It is launched at a 55 degree angle and it hits after 42 seconds of flight.

2. Relevant equations

See below.

3. The attempt at a solution

--x component--

velocity: 172.1 m/s

distance: 7228.2 meters

time: 42 seconds

acceleration: 0 m/s/s

velocity = 300cos55

distance = 172.1 m/s x 42 seconds

time = given

acceleration = always zero

--y component--

velocity: 245.7 m/s

distance: ? - This is what I'm trying to figure out.

time: 25.0 seconds

acceleration: -9.81 m/s/s

velocity = 300sin55

distance = ??

time = 245.7 meters / 9.81 m/s/s

acceleration = -9.81 m/s/s

I am confused. Thank you very much.

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# Homework Help: An artillery shell is fired I don't know!

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