# The car catches up to the motorcycle

A car is moving along the highway at a speed of 80 km/hr. A motorcycle passes the car at a constant speed of 110 km/hr. If the car starts accelerating at 5 m/s2 at the moment the motorcycle passes, how much distance will be covered until the car catches up to the motorcycle?

# The boat is pulled to the shore

A boy stands on a shore and pulls a rope connected to a boat. The velocity of the rope vr is constant. Prove that the closer the boat to the shore, the faster it moves.

# A solid sphere rolls down a roof

A solid sphere starts from rest and rolls without slipping a distance of 8 m down a roof that is inclined at 25˚. The roof’s edge is 5 m high from the ground. How far horizontally from the roof’s edge does the sphere hit the ground?

# A ball is thrown vertically upwards

A ball is thrown from ground level vertically upwards with an initial velocity of vi. Draw a velocity-time graph of the ball’s motion. Consider collisions with the ground are absolutely elastic and neglect air resistance.

Image By Michael Maggs Edit by Richard Bartz – Own work, CC BY-SA 3.0, Link