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A ball is thrown vertically upwards with a speed of 20 m / s. (a) How...

A ball is thrown vertically upwards with a speed of 20 m / s. (a) How fast is the ball when it is at a height of 15 m? (b) How long does it take you to reach that height?
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Answer #1

Initial velocity of the ball is . The acceleration of the ball is . The negative sign represents that the acceleration is directed downward. Since the acceleration of the ball is constant, the motion of the ball is governed by the kinematics equations for uniformly accelerated motion.

(a)

We want to find the velocity of the ball when the distance traveled by the ball is h=15 meters. We use

(b)

Time taken by the ball to reach height h=15 meters is equal to the time in which the velocity of the ball is 10.3m/s. We are using

Substituting values

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