IB Physics Equations of Motion

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Below is a tutorial sheet of harder problems on subtopic 2.1

  1. A ball falls from rest near the surface of the Earth. The ball falls 1.0 m in the last second of its fall. From what vertical height was the ball released? Neglect air resistance.
  2. A stone is released from rest at a height of 200.0 m above the surface of the Earth. At the same instant a ball is projected vertically upwards from the ground from directly below the stone. If they meet after 4.0 s at what speed was the ball projected? Neglect air resistance.
  3. A ball is projected vertically upwards from the surface of the Earth. The ball is above a height of 125.0 m for a total time of 3.0 s. At what speed was the ball projected? Neglect air resistance.
  4. A car of length L moves at a constant velocity u to the east. A truck of length T moves at a constant velocity v to the east. What is the time taken by the car to overtake the truck?
  5. A car of length L moves with a constant acceleration a to the east. A truck of length T moves at a constant velocity v to the east. When the velocity of the car is u it starts to overtake the truck. What is the time taken to overtake the truck?
  6. A particle moves with a constant acceleration a. If its maximum speed is v what is the least time to travel a distance d if it starts from rest?
  7. A particle is initially at rest. Its acceleration increases uniformly from zero to a in a time interval t. What is the distance travelled in this time interval? [at2/6]