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?