2.1-2.2 Quiz [33 marks]
1. [1 mark]
The road from city X to city Y is 1000 km long. The displacement is 800 km from X to Y.
What is the distance travelled from Y to X and the displacement from Y to X?
2. [1 mark] A car accelerates uniformly from rest to a velocity 𝑣 during time 𝑡! . It then continues
at constant velocity 𝑣 from 𝑡! to time 𝑡" .
What is the total distance covered by the car in 𝑡" ?
A. 𝑣 𝑡"
B.
!
D.
C.
"
𝑣(𝑡" + 𝑡! )
!
"
!
"
𝑣(𝑡" − 𝑡! ) + 𝑣 𝑡!
𝑣 𝑡! + 𝑣(𝑡" − 𝑡! )
3. [1 mark] An object is sliding from rest down a frictionless inclined plane. The object slides 1.0 m
during the first second.
What distance will the object slide during the next second?
A. 1.0 m
B. 2.0 m
C. 3.0 m
D. 4.9 m
4. [1 mark] An object of mass 2.0 kg rests on a rough surface. A person pushes the object in a straight
line with a force of 10 N through a distance d.
The resultant force acting on the object throughout d is 6.0 N.
What is the value of the sliding coefficient of friction 𝜇 between the surface and the object and what is the
acceleration a of the object?
5. [1 mark] A rocket has just been launched vertically from Earth. The image shows the free-body
diagram of the rocket. F1 represents a larger force than F2.
Which force pairs with F1 and which force pairs with F2, according to Newton’s third law?
6. [1 mark] An object is pushed from rest by a constant net force of 100 N. When the object has
travelled 2.0 m the object has reached a velocity of 10 m s−1.
What is the mass of the object?
A. 2 kg
B. 4 kg
C. 40 kg
D. 200 kg
7. [1 mark] An astronaut is orbiting Earth in a spaceship. Why does the astronaut experience
weightlessness?
A. The astronaut is outside the gravitational field of Earth.
B. The acceleration of the astronaut is the same as the acceleration of the spaceship.
C. The spaceship is travelling at a high speed tangentially to the orbit.
D. The gravitational field is zero at that point.
8. [1 mark] A ball is thrown upwards at time t = 0. The graph shows the variation with time of the
height of the ball. The ball returns to the initial height at time T.
What is the height h at time t ?
A.
!
C.
!
"
"
𝑔𝑡 "
B.
!
𝑔𝑇(𝑇 − 𝑡)
D.
!
"
"
𝑔𝑇 "
𝑔𝑡(𝑇 − 𝑡)
9. [1 mark] A solid metal ball is dropped from a tower. The variation with time of the velocity of the
ball is plotted.
A hollow metal ball with the same size and shape is dropped from
the same tower. What graph will represent the variation with time
of the velocity for the hollow metal ball?
10. [1 mark] A book of mass m lies on top of a table of mass M that rolls freely along the ground. The
coefficient of friction between the book and the table is 𝜇. A person is pushing the rolling table.
What is the maximum acceleration of the table so that the book does not slide backwards relative to the
table?
A.
C.
#
$
%#
&$
B. 𝜇𝑔
D.
%
&
𝜇𝑔
START PAPER 2
11a. [3 marks]
Airboats are used for transport across a river. To move the boat forward, air is
propelled from the back of the boat by a fan blade.
An airboat has a fan blade of radius 1.8 m. This fan can propel air with a maximum speed relative to the
boat of 20 m s−1. The density of air is 1.2 kg m−3.
Outline why a force acts on the airboat due to the fan blade.
11b. [2 marks]
In a test the airboat is tied to the river bank with a rope normal to the bank. The
fan propels the air at its maximum speed. There is no wind.
Show that a mass of about 240 kg of air moves through the fan every second.
11c. [1 mark]
Show that the tension in the rope is about 5 kN.
11d. [2 marks]
The rope is untied and the airboat moves away from the bank. The variation with
time t of the speed v of the airboat is shown for the motion.
Explain why the airboat has a maximum speed under these conditions.
11e. [2 marks]
Estimate the distance the airboat travels to reach its maximum speed.
11f. [3 marks]
Deduce the mass of the airboat.
12a. [2 marks]
A football player kicks a stationary ball of mass 0.45 kg towards a wall. The initial
speed of the ball after the kick is 19 m s−1 and the ball does not rotate. Air resistance is negligible
and there is no wind.
The player’s foot is in contact with the ball for 55 ms. Calculate the average force that acts on the ball due
to the football player.
12b. [2 marks]
The ball leaves the ground at an angle of 22°. The horizontal distance from the initial
position of the edge of the ball to the wall is 11 m. Calculate the time taken for the ball to reach the wall.
12c. [3 marks]
wall.
The top of the wall is 2.4 m above the ground. Deduce whether the ball will hit the
12d. [2 marks]
In practice, air resistance affects the ball. Outline the effect that air resistance has
on the vertical acceleration of the ball. Take the direction of the acceleration due to gravity to be positive.