A rocket ball,it hit straight upward with an initial velocity of 2m/s. The mass of...

A rocket ball,it hit straight upward with an initial velocity of 2m/s. The mass of the rocket ball is approximately 0.0427kg, air resistance act on the ball with a force numerically equal to 0.5V, where v represent the velocity of the ball at time t (a) find the velocity of the ball as a function of time (b) How long does it take for ball to reach it's maximum height (c) if the ball is hit from an initial height of 1m, how long will it take to reach the ground?

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