Vertical Motion Problems

• A ball is dropped from a tower and strikes the ground in 3.00 seconds.

– Find the velocity of the ball as it strikes the ground.

– Find the height of the tower.

• From what height must water fall from a dam to strike a turbine wheel with a speed of 40.0 m/s?

• A rock is dropped off a cliff that is 100. m high.

– How long does it take for the rock to hit the ground?

– What is the rock’s velocity at the bottom of the cliff?

– At what time is the rock’s velocity –20.0 m/s?

• A ball is thrown up into the air. It returns to its starting point in 10.0 seconds.

– What is the maximum height the ball reaches?

– What is the initial velocity of the ball?

– What is the final velocity of the ball?

– Draw a displacement versus time graph for the ball.

– Draw a velocity versus time graph for the ball.

• A boy who is 1.50 m tall throws a ball into the air. The ball attains a height of 3.00 m over the boy’s head and then falls back to the ground. The boy’s hand was 1.20 m above the ground when he released the ball.

• How long does it take the ball to reach its maximum height?

• What was the initial velocity of the ball?

• What was the final velocity of the ball?

• A batter hits a pop fly that travels straight upward. The ball leaves her bat with an initial speed of 40.0 m/s.

• What is the velocity of the ball at the end of 2.00 seconds?

• What is the velocity of the ball at the end of 6.00 seconds?

• Draw a velocity versus time graph for the ball.

• When does the ball reach its highest point?

• A ball is thrown upward with a velocity of 25.0 m/s. At what time(s) is the ball 25.0 meters above the release point from which it was thrown?