A toy rocket of mass 0.50kg starts from rest on the ground and is launched upward, experiencing a vertical net force. The rocket’s upward acceleration a for the first 6 seconds is given by the equation a=K−Lt2, where K=9.0m/s2, L=0.25m/s4, and t is the time in seconds. At t=6.0s, the fuel is exhausted and the rocket is under the influence of gravity alone. Assume air resistance and the rocket’s change in mass are negligible.   (c) i. Calculate the kinetic energy of the rocket at t=6.0s.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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A toy rocket of mass 0.50kg starts from rest on the ground and is launched upward, experiencing a vertical net force. The rocket’s upward acceleration a for the first 6 seconds is given by the equation a=K−Lt2, where K=9.0m/s2, L=0.25m/s4, and t is the time in seconds. At t=6.0s, the fuel is exhausted and the rocket is under the influence of gravity alone. Assume air resistance and the rocket’s change in mass are negligible.

 

(c) i. Calculate the kinetic energy of the rocket at t=6.0s.

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