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2012 - 2002

Solutions to ordinary level questions begin on page 11

Solutions to higher level questions begin on page 19

Velocity

2010 Question 12 (a) [Higher Level]

(i) A student holds a motion sensor attached to a data-logger and its calculator. List the instructions you should give the student so that the calculator will display the graph shown in Fig 1.

(ii) The graph in Figure 2 represents the motion of a cyclist on a journey. Using the graph, calculate the distance travelled by the cyclist and the average speed for the journey.

Equations of motion (vuast)

2004 Question 6 [Ordinary Level]

(i) Define velocity.

(ii) Define acceleration.

(iii) Describe an experiment to measure the velocity of a moving object. (iv) A cheetah can go from rest up to a velocity of 28 m s−1 in just 4 seconds and stay running at this velocity for a further 10 seconds. Sketch a velocity−time graph to show the variation of velocity with time for the cheetah during these 14 seconds. (v) Calculate the acceleration of the cheetah during the first 4 seconds. (vi) Calculate the resultant force acting on the cheetah while it is accelerating. The mass of the cheetah is 150 kg.

(vii) Name two forces acting on the cheetah while it is running.

2008 Question 12 (a) [Ordinary Level]

(i) Define velocity.

(ii) Define acceleration.

(iii) A speedboat starts from rest and reaches a velocity of 20 m s−1 in 10 seconds. It continues at this velocity for a further 5 seconds.

The speedboat then comes to a stop in the next 4 seconds.

Draw a velocity-time graph to show the variation of velocity of the boat during its journey. (iv) Use your graph to estimate the velocity of the speedboat after 6 seconds. (v) Calculate the acceleration of the boat during the first 10 seconds. (vi) What was the distance travelled by the boat when it was moving at a constant velocity?

2010 Question 12 (a) [Ordinary Level]

(i) A cyclist on a bike has a combined mass of 120 kg.

The cyclist starts from rest and by pedalling applies a net force of 60 N to move the bike along a horizontal road. Calculate the acceleration of the cyclist

(i) Calculate the maximum velocity of the cyclist after 15 seconds. (ii) Calculate the distance travelled by the cyclist during the first 15 seconds. (iii) The cyclist stops peddling after 15 seconds and continues to freewheel for a further 80 m before coming to a stop. Why does the bike stop? (iv) Calculate the time taken for the cyclist to travel the final 80 m.

Force, gravity and acceleration

2002 Question 6 [Ordinary Level]

(i) Define (i) velocity, (ii) acceleration.

(ii) Copy and complete the following statement of Newton’s first law of motion. “An object stays at rest or moves with constant velocity (i.e. it does not accelerate) unless………………..” The diagram shows the forces acting on an aircraft travelling horizontally at a constant speed through the air.

L is the upward force acting on the aircraft.

W is the weight of the aircraft.

T is the force due to the engines.

R is the force due to air resistance.

(iii) What happens to the aircraft when the force L is greater than the weight of the aircraft? (iv) What happens to the aircraft when the force T is greater than the force R? (v) The force T exerted by the engines is 20 000 N.

Calculate the work done by the engines while the aircraft travels a distance of 500 km. (vi) The aircraft was travelling at a speed of 60 m s-1 when it landed on the runway. It took two minutes to stop. Calculate the acceleration of the aircraft while coming to a stop. (vii) The aircraft had a mass of 50 000 kg. What was the force required to stop the aircraft? (viii) Using Newton’s first law of motion,...

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