A person runs in a straight line 84 m south in 9.0 s and then 160 m north in 18.0 s. Calculate the runner’s: average speed

A cyclist is travelling at a constant 10 m s–1 when he begins to coast up a hill. Assuming the cyclist decelerates uniformly at 1.8 m s–2, calculate:

how far the cyclist will travel before coming to rest.

A cyclist is travelling at a constant 10 m s–1 when he begins to coast up a hill. Assuming the cyclist decelerates uniformly at 1.8 m s–2, calculate:

how long this will take.

A bicycle and rider have a combined mass of 65 kg. When travelling at 5.0 m s–1 on a level road, the cyclist ceases to pedal and comes to rest in 255m. Determine what frictional forces must have been acting on the cyclist.

Stationary skateboarder A with a mass of 50 kg pushes stationary skateboarder B with a mass of 75 kg. After the push, skateboarder B moves with a velocity of 2 m s–1 to the right. The velocity of skateboarder A is:

A car of mass 2200 kg accelerates from rest at 3 m s–2 for 10 s. Determine the impulse imparted to the car.

An object of mass 5 kg moving with a velocity of 10 m s–1 strikes another of mass 3 kg at rest. The two masses continue in motion together. Determine their common velocity.

An archer fires an arrow of mass 96 g with a velocity of 120 m s−1 at a target of mass 1500 g hanging by a long piece of string from a tall tree. If the arrow becomes embedded in the target, determine the velocity with which the target moves.

A 200 kg piano is lowered by a rope out of a third floor window.

Calculate how much work is done in lowering the piano a distance of 9 m to the ground at constant speed

Champion weightlifter Leonid Taranenko lifted 266 kg in a clean and jerk to a height of 2.4 m.

Calculate the impact speed when he dropped the weight onto the mat from this height.

Imagine a game of marbles. A girl rolls a blue marble of mass 100 g along the ground at a speed of 3 m s–1 to the right towards the red marble (mass 50 g) initially at rest. After the marbles collide elastically, the blue marble is moving at 1 m s–1 to the right.

Determine the final speed of the red marble.

A 0.20 kg ball A moving with a speed of 1.75 m s–1 approaches a stationary second ball B of mass 0.15 kg, head-on. After the collision, ball B travels at 2.0 m s–1 in the same direction.

Calculate the speed of ball A after the collision.

A 0.20 kg ball A moving with a speed of 1.75 m s–1 approaches a stationary second ball B of mass 0.15 kg, head-on. After the collision, ball B travels at 2.0 m s–1 in the same direction.

Determine if the collision was elastic