Question

Please help and be sure to draw a good free body diagram with corresponding forces. thank you!

1. (5 points) A 5000 kg rocket is launched at an angle of e = 44.7° from rest. The rocket's engines provide a constant thrust force of thrust = 140,700 N. (a) Using a combination of dynamics and kinematics, calculate an equation that describes the rocket's vertical position as a function of its horizontal position, y(x). Your solution should include a free-body diagram and assume that the direction of the thrust force does not change as the rocket moves. Use dynamics to calculate the acceleration components in the x- and y-directions, then use kinematics to do the rest. (b) What is the shape of the rocket's trajectory according to your answer for part (a)? Compare it with the parabolic trajectory seen in projectile motion.

Answer 1

rocket in earth 98,967.61 Reino , 140700N 2F FBD, 44.7 Sirroso 100009.5N mg = 50, 600N V 50, DOON ↑ 48967.6N = fy 009. SN ay- ty z 9.79 m/s2 que fins a doo mlez using eg. of motion- Yo 4 + fayt " (6) by 040 X2 unt + & aut X 20+ t. foto) 2 - 0 ya 14(9:79) e Go y = 4.98 152 x²] I equation of trajectory - Oparabolic path)

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