After winning a car race the victor celebrates by opening a bottle of champagne. The bottle is opened by shaking it vigorously-which causes the cork to pop out. The path of the cork is shown below. Neglect air resistance in this problem.
The cork reaches a maximum height of 7.2 m above the point of release and travels a horizontal distance of 12 m before being at the same vertical position as at the point of release.
Question 1 (VCAA 1989 Question 15, 1 mark)
Calculate the magnitude of the vertical component of the cork's velocity just after it leaves the bottle.
Question 2 (VCAA 1989 Question 16, 1 mark)
Calculate the time of flight of the cork.
Question 3 (VCAA 1989 Question 17, 1 mark)
What is the speed of the cork just after it leaves the bottle?

Mark, Rosita and Raymond are astronauts of the future, working on a moon station.
Their advanced-technology space suits do not hinder their movements, so they are able to move with as much ease as they do on Earth. The acceleration due to the moon’s gravitational field near its surface is 1.60 m s -2 and there is no air resistance on the moon.
Mark throws Rosita a hammer, releasing it at a height of 0.80 m as shown in the diagram below. Rosita, standing 6.0 m away, catches it at the same height, 5.0 seconds after it is thrown.
Question 4 (VCAA 1990 Question 3, 1 mark)
What is the vertical component of the hammer's velocity just as it leaves Mark's hand?
Question 5 (VCAA 1990 Question 4, 1 mark)
What is the speed of the hammer when Rosita catches it?
Question 6 (VCAA 1990 Question 5, 1 mark)
To what height, h, (see the diagram above), does the hammer rise?

A ball is sitting on top of a high wall. Joe stands a distance away from the base of the wall and throws a stone from L in such a way that the stone is travelling horizontally at the point of impact with the ball. Ignore air resistance. The situation is shown in the figure below.
The stone is released from a point level with Joe's shoulder and the ball is 7.2 m above this point. The mass of the stone is 0.10 kg and the mass of the ball is 0.30 kg.
Question 7 (VCAA 1991 Question 7, 1 mark)
What should be the vertical component of the velocity of the stone when it is released?
Question 8 (VCAA 1991 Question 8, 1 mark)
If the stone hits the ball with a speed of 12 m s -1 , how far is L from the wall?
The stone bounces back horizontally after striking the ball and is caught at shoulder height at
C, a distance 40% of the way from the wall to the point L.
Question 9 (VCAA 1991 Question 9, 1 mark)
What is the impulse given to the ball?
Question 10 (VCAA 1991 Question 10, 1 mark)
What is the speed with which the ball leaves the wall?

In an experiment, a laboratory cart carrying one brick is travelling at constant speed along a smooth level bench. Another identical brick is dropped at time T on to the cart.
The mass of the cart is equal to the mass of 1.5 bricks.
Question 11 (VCAA 1976 Question 21, 1 mark)
Which of the graphs (A - F) below best represents the velocity of the cart as a function of time?
**Question 12 (VCAA 1976 Question 22, 1 mark)
Which of the graphs (A - F) above best represents the velocity of the centre of mass of the cart and bricks?
Question 13 (VCAA 1976 Question 23, 1 mark)
Which of the graphs (A - F) above best represents the momentum of brick X?
Question 14 (VCAA 1976 Question 24, 1 mark)
Which of the graphs (A - F) above best represents the total energy of cart and bricks?
Question 15 (VCAA 1976 Question 25, 1 mark)
In a second experiment, the same cart carries three identical bricks and is travelling at a constant speed of 1.1 ms -1 . A fourth brick is dropped on to the cart. What will the speed of the cart now be?

A
C
E
An object of mass 4.0 kg, has an initial velocity of 2.0 ms -1 north and a final velocity of
3.0 ms -1 south.
Question 16 (VCAA 1976 Question 12, 1 mark)
What is the magnitude of the change in momentum?
Question 17 (VCAA 1976 Question 13, 1 mark)
What is its change in kinetic energy?
A sphere of mass 3 kg travelling North at 2 ms -1 collides with another sphere of mass 4 kg travelling east at 2 ms -1 .
Question 18 (VCAA 1975 Question 8, 1 mark)
The magnitude of their resultant momentum after collision will be:
A
C zero
10 kg m s -1
B
D
2 kg m s -1
14 kg m s -1
E dependent on whether the collision was elastic or inelastic
Question 19 (VCAA 1975 Question 9, 1 mark)
The total kinetic energy of the two spheres after collision will be:
A
C
10 J
20 J
B
D
14 J
28 J
E dependent on whether the collision was elastic or inelastic
Question 20 (VCAA 1972 Question 39, 1 mark)
The area under the graph of net force versus time for an object represents change in potential energy work done change in momentum
B
D acceleration power