HARD
AS and A Level
IMPORTANT
Earn 100

A ball of mass 0.3 kg is thrown upwards with speed 10 m s-1. It experiences air resistance of 0.15 N. The ball lands on the ground 1.2 m below. Find the speed with which it hits the ground.

Important Questions on Force and Motion in One Dimension

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 13

A bouncy ball is dropped from a height of 5 m. When it bounces its speed immediately after impact is 80% of the speed immediately before impact.

Find the maximum height of the ball after bouncing.

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 13

A bouncy ball is dropped from a height of 5 m. When it bounces its speed immediately after impact is 80% of the speed immediately before impact.

Show that the height is independent of the value used for g.

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 14
A parachutist of mass 70 kg falls out of an aeroplane from a height of 2000 m and falls under gravity until 600 m from the ground when he opens his parachute. The parachute provides a resistance of 2330 N. Find the speed at which the parachutist is travelling when he reaches the ground.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 15
A ball is thrown vertically up at 10 m s-1. One second later another ball is thrown vertically up from the same point at 8 m s-1. Find the height at which the balls collide.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 16
A pebble is dropped from rest into a deep well. At time t s later it splashes into the water at the bottom of the well. Sound travels at 340 m s-1 and is heard at the top of the well 5 s after the pebble was released. Find the depth of the well.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2C>Q 17
A ball of mass 2 kg is projected up in the air from ground level with speed 20 m s-1. It experiences constant air resistance R. It returns to ground level with speed 15 m s-1. Find R.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2D>Q 1
An elevator is carrying a man of mass 70 kg upwards, accelerating at constant acceleration from rest to 10 ms-1 in 2 s. Find the size of the normal contact force on the man.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 2 - Force and Motion in One Dimension>EXERCISE 2D>Q 2
An elevator is carrying a woman of mass 55 kg upwards. It is travelling upwards at 8 m s-1 and starts to slow down at a constant rate when it is 9 m from where it stops. Find the size of the normal contact force on the woman.