Help with projectile motion-type question

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SUMMARY

The discussion revolves around calculating the landing distance of a model rocket that is pushed off a 40.0 m high wall with an initial horizontal speed of 0.630 m/s and a constant horizontal thrust of 24.1 N from its engine. The problem requires understanding projectile motion, specifically separating the horizontal and vertical components of motion. The key takeaway is to set up two velocity equations as functions of time: one for horizontal motion incorporating the thrust and another for vertical motion to determine the time until impact with the ground.

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Homework Statement



A 507.0 g model rocket is resting horizontally at the top edge of a 40.0 m high wall when it is accidentally bumped. The bump pushes it off the edge with a horizontal speed of 0.630 m/s and at the same time causes the engine to ignite. When the engine fires, it exerts a constant 24.1 N horizontal thrust away from the wall. How far from the base of the wall does the rocket land?

I don't know where to start - I am not asking for the answer, just some direction on where to start...

If anyone could help me on this, it would be fantastic. I am pretty much stumped! Thanks!
 
Last edited:
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well being a rocket nut I can't resist, but at the same time the problem is poorly stated IMO. I'm assuming the rocket engine is firing horizontal/edit never mind missed that part.

(However that will not remain so, as the rocket "weathercocks" so the nose is pointed increasingly downward, but I doubt that is intended for consideration)

so set up two velocities as a function of time: one in the x direction, given the initial velocity plus that acceleration privided by the motor and the other in the y. You can figure the time it hits the ground from the latter, ie a bullet shot horizontally from a rifle in theory should hit the ground at the same time as a bullet simply dropped from the height of the barrel. Does that help a little?
John S
 
Last edited:
How would you solve this if there was no rocket acceleration in the x?
 

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