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.
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.
(e) On the axes below, assuming the upward direction to be positive, sketch a graph of the velocity v of the rocket as a function of time t from the time the rocket is launched to the time it returns to the ground. Ttop represents the time the rocket reaches its maximum height. Explicitly label the maxima with numerical values or algebraic expressions, as appropriate.
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