Solving a Rocket Motion Problem

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SUMMARY

The discussion focuses on solving a rocket motion problem involving a rocket fired at an elevation angle of 62.4 degrees with an acceleration of 22.8 m/s². The rocket travels for 8.95 seconds before becoming a projectile. The calculations for both straight-line and projectile motion were confirmed to be correct, utilizing the Pythagorean theorem and the formula vf = vi + at. The time for all motions is consistent at 8.95 seconds for straight-line motion and 4.2 seconds for the projectile's upward motion.

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  • Understanding of kinematic equations in physics
  • Familiarity with projectile motion concepts
  • Knowledge of the Pythagorean theorem
  • Basic trigonometry for angle calculations
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  • Learn about the effects of air resistance on projectile motion
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Students studying physics, educators teaching kinematics, and aerospace engineers interested in rocket motion dynamics.

drew1989
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Ok here's a question i had for homework, but i am having some trouble with it:

a rocket is fired from rest with an acceleration at=22.8m/s at an elevation angle of theta=62.4. the rocket travels in a straightline for 8.95 seconds, when the fuel runs out. at this time it becomes a projectile and falls back to the ground. fill in the tables

they ask for:

straightline

total horizontal vertical

vi vi vi
vf vf vf
d d d
a a a
t t t

and they ask for

projectile

up down horizontal


my answers were

total horizontal vertical

vi 0 vi 0 vi 0
v 204.06 vf 159.18 vf 147.18
d 913.17 d 809.25 d 423.07
a 22.8 a 20.2 a 10.6
t 8.95 t 7.9 t 4.2

i got these answers by using the pythagorean theorem and using the vf=vi+at formula. if these are right could you tell me, if not tell me what i was doing wrong. after i get to projectile it is easy but i think i made a mistake. would the time be the same for all?
 
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projectileup down horizontalvi 204.06 vi 147.18 vi 159.18vf 0 vf 0 vf 0d 423.07 d 913.17 d 809.25a -10.6 a -20.2 a 0t 4.2 t 7.9 t 7.9Yes, your answers for both tables are correct. The time for each motion would be the same because the rocket travels in a straight line for 8.95 seconds until it runs out of fuel and becomes a projectile.
 

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