Finding the initial velocity of a projectile so that it hits a moving object

AI Thread Summary
To determine the initial velocity of a projectile aimed at a moving object, the projectile must be analyzed in both horizontal and vertical components. The object is 92 meters away and moves towards the launch position at 6 m/s, while the projectile is launched at a 72-degree angle. The equations of motion for both the x and y directions must be established, with the horizontal distance covered by the projectile needing to equal 92 meters in the same time it takes for the object to reach the launch position. Corrections to the equations of motion were noted, emphasizing the need for accurate formulations. Solving this requires setting up the equations for the projectile's motion based on these parameters.
bermy_son92
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Homework Statement



Object is 92m away from the projectile's launch position and is moving towards the launch position at 6m/s.
The projectile is launched at an angle of 72 degrees towards the moving object.
What must the projectile's velocity be if it is to hit the object moving towards it.
(Both the projectile and object start moving at the same time.)
acceleration = gravity = -9.8m/s


Homework Equations


distance=velocity/time
distance=velocity*time+0.5*acceleration*time^2
velocity2 - velocity1 = 2*acceleration*distance
velocity2 = velocity1 * acceleration * time


The Attempt at a Solution


I tried a few attempts however none of my ideas worked
 
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Why were the 5 or so subsequent messages posted here deleted?
 
Phrak said:
Why were the 5 or so subsequent messages posted here deleted?

I uh... don't know. I'm new here. Don't know who could do that.
 
BlueFalcon said:
I uh... don't know. I'm new here. Don't know who could do that.

I consider glitches, means, motive, and opportunity.
 
Until we get the posts back...

bermy_son92 said:

Homework Equations


distance=velocity/time
distance=velocity*time+0.5*acceleration*time^2
velocity2 - velocity1 = 2*acceleration*distance
velocity2 = velocity1 * acceleration * time
Note that your last two equations are wrong. The second-last one should be v2^2-v1^2=2ad, not v2-v1=2ad. The last one should be v2=v1+at, not v2=v1*a*t.

To solve this problem, write separate equations for the projectile's horizontal and vertical movements. In the y direction, the projectile leaves at speed=vsin72 and returns to its original height upon hitting the target. Suppose this takes time t. In the x direction, the projectile's relative speed to the target must be enough to cover 92 m in time t. Can you now write out two equations for the projectile's motion?
 
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