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Vertical Motion Problems: Solving for Velocity, Height, and Time

This interactive tutorial provides step-by-step solutions for various vertical motion problems involving object drop, throw, and height calculations.

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Vertical Motion Problems: Solving for Velocity, Height, and Time

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  1. Vertical Motion Problems

  2. 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.

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

  4. 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?

  5. 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.

  6. 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?

  7. 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?

  8. 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?

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