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

Hi, I'm in a calculus base physics course in college so i thought this forum would be appropriate to post this question. The question is as follows:

"A cannonball leaves the end of the cannon with an initial velocity of 67 m/s. Assuming a level terrain, at what angle(s) to the horizontal must the cannonball be fired to hit a target 402.3 meters away?"

2. Relevant equations

X=Xo+Vo(t)+(1/2)(a)(t)^2

V=Vo+a(t)

V^2=Vo^2+(2)(a)(X2-X1)

3. The attempt at a solution

Basically i have been struggling with this problem for awhile now and I'm stuck. I wrote out my horizontal and vertical information in an attempt to maybe find the time it takes for the object to reach its target. It turns out there is not enough information to solve for any of the un-known variables in the equations I listed above. I also cannot use SOH-CAH-TOA to solve for the vertical and horizontal velocities because they don't give enough information.

If anyone can help me through the steps on how to solve this it would be great!

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# 2D Kinematics Problem (Projectile Motion)

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