Help with projectile motion-type question

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To solve the projectile motion problem involving a model rocket, first establish the horizontal and vertical components of motion. The rocket is initially pushed off a 40.0 m high wall with a horizontal speed of 0.630 m/s and experiences a constant horizontal thrust of 24.1 N. Calculate the time it takes for the rocket to fall 40.0 m using the vertical motion equations, which is independent of horizontal motion. Then, determine the horizontal distance traveled during that time by incorporating the initial speed and the additional acceleration from the thrust. This approach will yield the total distance from the base of the wall where the rocket lands.
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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!
 
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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
 
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How would you solve this if there was no rocket acceleration in the x?
 
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