Having trouble finding trajectory of a small rocket

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SUMMARY

The discussion focuses on calculating the trajectory of a small rocket using basic physics principles. Key calculations include determining the height of the rocket at its apex, which is found to be 408.01 meters, and the final velocity, calculated as 85.003 m/s. The average acceleration is derived as 17.709 m/s². The magnitudes of thrust and gravity are calculated to be 189.128 N and 368.48 N, respectively, raising questions about the rocket's ability to ascend given that gravity exceeds thrust.

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Homework Statement



So we launched small rockets on our last day, but have a week to turn in the homework based on the launch, but seeing as we aren't allowed back in school I can't ask questions I am lost. We haven't dealt with anything remotely related to trajectory since the beginning of fall. I'm confident in doing the math needed, I just need help remembering some formulas. some outstanding questions are-

* Magnitude of the 2 main forces acting on the rocket ( thrust and gravity)
* average acceleration
* final velocity
* initial velocity when rocket enters coasting phase


the only data we collected at the launch was the angle of the flight path and we timed the rockets path from ignition to the apex of flight. I have no idea how to get the velocity or acceleration from that.

if you want my numbers, M of rocket+engine = 37.6 grams, M of Engine = 19.1 grams, M of Rocket = 18.5 grams, flight time to apex = 4.8 Sec, Height angle was 69 degrees measured 200 meters from the launch position. that's all the data i have. THANK YOU!

Homework Equations


like I said, its been a while and all I am really looking for is the relevant equations I need to solve the problems. We use basic algebraic equations. i remember a=v/t, v=d/t and that's all i remember.


The Attempt at a Solution



(Tan68) * 200= h
h= 408.01 meters
v=d/t
v= 408.01/ 4.8
v=85.003 m/s
a=v/t
a= 85.003/ 4.8
a= 17.709 m/s/s

(Magnitude of thrust)
would that be 5.03 * 37.6 = 189.128 N
(magnitude of gravity)
would that be 9.8*37.6 = 368.48 N
if so, how would the rocket fly seeing as the magnitude of gravity is > than magnitude of thrust?
 
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This is the actual worksheet that i have to fill out if you want to take a look at that
 

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