A rocket is launched from the origin with an acceleration of 20.0 m/s² at an angle of 30.0 degrees above the horizontal.The launch acceleration lasts for 2.00 seconds at which time the fuel is exhausted.The rocket then falls with an acceleration of 9.80 m/s² downward.What is the maximum velocity in the upward direction? A) 20.0 m/s B) 25.0 m/s C) 30.0 m/s D) 35.0 m/s E) 40.0 m/s

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Quizplus · Accepted Answer

The maximum velocity in the upward direction is reached at the end of the launch phase, when the rocket has reached its maximum height. The vertical component of the launch acceleration is 20.0 m/s^2 * sin(30.0 degrees) = 10.0 m/s^2. The rocket starts from rest, so its vertical velocity at the end of the launch phase is 10.0 m/s^2 * 2.00 s = 20.0 m/s.

A Rocket Is Launched from the Origin with an Acceleration