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Question 1
The graph below shows how the velocity of a car varies with time. |
a) | Calculate the acceleration of the car between C and D.
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b) | Describe the motion of the car between B and C.
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c) | Compare the motion between A-B and C-D.
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d) | Calculate the distance travelled between A and C.
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Question 2
This question is about a skydiver. The graph below shows how the distance fallen by the skydiver varies with time. |
a) | State when the skydiver reach terminal velocity.
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b) | Describe how the forces acting on the skydiver vary as they fall.
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c) | The skydiver uses a parachute to land safely. Explain how a parachute allows the skydiver to land safely. Use ideas about forces in your answer.
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d) | Calculate the speed of the skydiver between 6 and 10s.
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Question 3
Jack drives to his friends house from home. He stops at the shop for a snack on the way. The table below shows the details of Jack's journey. |
a) | Plot a graph to show Jack's journey to his friends house.
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b) | State how long Jack stopped at the shop.
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c) | Calculate Jack's speed between 16 and 28 minutes. Give your answer to 1 decimal place in m/s.
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Question 4
This question is about the bloodhound land speed record jet car. |
a) | During a test of the car it reached a top speed of 1,300 km/h. Convert 1,300 km/h to m/s.
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b) | The car reached the top speed of 1,300 km/h in 38 s. Calculate the average acceleration of the car, in m/s2.
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c) | Assume the thrust from the engine is constant. Explain why the car reaches a top speed.
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Question 5
During a school sports day runners compete on a running track. |
a) | In the race results, the student wants to publish finishing place as well as average speed. Describe a method the student could follow to calculate the average speed of each runner.
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b) | The graph below shows the how the speed of a 100 m sprinter varies during a race. Calculate the acceleration of the athlete at the start of the race.
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c) | Calculate the distance travelled by the athlete during the period of acceleration at the start of the race.
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d) | Calculate the time it takes the athlete to finish the 100 m race.
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Question 6
This question is about the acceleration and forces experienced by a passenger of a roller coaster. |
a) | Many roller coasters have a launch mechanism to accelerate passengers rapidly for maximum thrills. This roller coaster reaches a top speed of 26 m/s in 22.5 m. Calculate the acceleration of the roller coaster at the start of the ride.
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b) | The mass of a passenger is 70kg. Calculate the force exerted on the passenger during the initial acceleration of the roller coaster.
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c) | The graph below shows the speed of the roller coaster during the first 40 s of the ride. State the resultant force acting on the roller coaster cart at 25 s. Give a reason for your answer.
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d) | Calculate the distance travelled by the roller coaster between 10 s and 20 s.
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Question 7
A student is skimming stones across a lake. The graph below shows the velocity of the stone in the vertical direction from the moment hits the water. The velocity of the stone is positive in the downwards direction. |
a) | Describe the motion of the stone from A to B.
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b) | Calculate the maximum height reached by the stone above the water surface.
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c) | Describe the height of the second bounce is different to the first bounce.
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d) | Calculate the acceleration of the stone between 1.2 and 1.8 s.
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Question 8
A student is investigating how the motion of a trolley changes as the steepness of the ramp is varied. The diagram below shows the set up of the equipment. |
a) | State the independent variable in the student's investigation.
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b) | List two control variables for the student's investigation.
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c) | The student plotted a graph of starting height against final speed. Describe the relationship between starting height and final speed.
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d) | The length of the ramp was 2 m. Calculate the acceleration of the trolley when the starting height of the ramp was 20 cm.
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Question 9
A plane accelerates down the runway before take off. The graph below shows the velocity of the plane as it travels down the runway. |
a) | Describe the motion of the aircraft as it travels along the runway.
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b) | The plane has the engines set to maximum thrust for the duration of take off. Explain why the acceleration of the plane is not constant.
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c) | Calculate the acceleration of the plane during the first 2 seconds.
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d) | The maximum thrust of the engines is 1,800 kN. The mass of the plane is 120,000 kg. Calculate the maximum mass of passengers, fuel and luggage for the plane to achieve the acceleration calculated in part c).
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