| Date | November 2013 | Marks available | 1 | Reference code | 13N.1.HL.TZ0.21 |
| Level | Higher level | Paper | Paper 1 | Time zone | Time zone 0 |
| Command term | Question number | 21 | Adapted from | N/A |
Question
A ball is thrown from the top of a cliff. The initial magnitude of the velocity of the ball at time t=0 is V. The ball hits the sea at time t=T. Air resistance is negligible.
Which graph shows how the vertical component of the velocity v of the ball varies with t as it falls to the sea?
Markscheme
D
Examiners report
Although the ball is launched with a velocity of V, the question refers to the vertical component. Therefore, the initial velocity in the vertical direction must be less than this value. Many candidates failed to pick up on this point.
Syllabus sections
Show 111 related questions
- 17N.2.SL.TZ0.1e.ii: Calculate the distance along the slope at which the sledge stops moving. Assume that the...
- 17N.2.SL.TZ0.1e.i: Show that the acceleration of the sledge is about –2 m s–2.
- 17N.1.SL.TZ0.5: An object is released from a stationary hot air balloon at height h above the ground. An...
- 17N.1.SL.TZ0.4: An object is thrown upwards. The graph shows the variation with time t of the velocity v...
- 17N.1.SL.TZ0.3: The variation of the displacement of an object with time is shown on a graph. What does...
- 17M.2.SL.TZ2.3b.ii: Estimate the speed of the train.
- 17M.2.SL.TZ2.1a: The glider reaches its launch speed of 27.0 m s–1 after accelerating for 11.0 s. Assume that...
- 17M.1.HL.TZ1.3: The graph shows the variation of the acceleration a of an object with time t. What is the...
- 17M.1.SL.TZ2.5: A tennis ball is released from rest at a height h above the ground. At each bounce 50 %...
- 17M.1.SL.TZ2.4: A projectile is fired horizontally from the top of a cliff. The projectile hits the ground 4...
- 17M.1.SL.TZ2.3: A ball is tossed vertically upwards with a speed of 5.0 m s–1. After how many seconds will...
- 17M.1.SL.TZ1.4: The graph shows the variation of speed v of an object with time t. Which graph shows how...
- 17M.1.SL.TZ1.3: An object is released from rest in the gravitational field of the Earth. Air resistance is...
- 17M.1.SL.TZ1.15: Two pulses are travelling towards each other. What is a possible pulse shape when the...
- 16M.2.SL.TZ0.1c: On the axes, sketch a graph to show how the displacement of the block varies with time from A...
- 16N.1.HL.TZ0.4: A mass is suspended from the ceiling of a train carriage by a string. The string makes an...
- 16N.1.HL.TZ0.3: A student draws a graph to show the variation with time t of the acceleration a of an...
- 16N.1.SL.TZ0.4: An object of weight W is falling vertically at a constant speed in a fluid. What is the...
- 16M.1.SL.TZ0.3: An aircraft is moving horizontally. A parachutist leaves the aircraft and a few seconds...
- 15M.1.HL.TZ1.2: A tennis ball is dropped from the top of a tall building. Air resistance is not negligible....
- 15M.1.HL.TZ1.24: A ball is thrown from point X and follows path XYZ. Air resistance is negligible. Which...
- 15M.1.HL.TZ1.25: Two isolated spherical planets have the same gravitational potential at their surfaces. Which...
- 15M.1.SL.TZ1.3: A tennis ball is released from rest and falls vertically through a small distance in air....
- 15M.1.SL.TZ1.4: The graph below shows the variation with time t of the velocity v of a car travelling in a...
- 15M.1.SL.TZ2.3: A body moves in a straight line. In order for the equations for uniformly accelerated motion...
- 15M.1.SL.TZ2.4: The graph shows the variation with time of the velocity of a truck of fixed mass. What can...
- 15M.1.HL.TZ2.23: The horizontal component vh and the vertical component vv of velocity of an object are shown...
- 15M.2.SL.TZ1.6c: The following data are available. Mass of the ball = 0.20 kg Mean radius of the Moon =...
- 15M.2.SL.TZ1.6b: Use the graph to (i) estimate the velocity of the ball at t \( = \) 0.80 s. (ii) calculate...
- 15M.2.SL.TZ1.6d: Calculate the speed of an identical ball when it falls 3.0 m from rest close to the surface...
- 15M.2.SL.TZ1.6e: Sketch, on the graph, the variation with time t of the displacement s from the point of...
- 14M.1.SL.TZ1.3: A body moves on a straight line. The graphs show the variation of displacement with time....
- 14M.1.HL.TZ1.7: A ball of mass m is projected horizontally with speed v from a height h above the floor. Air...
- 14M.1.SL.TZ2.2: Each side of a metal cube is measured to be 2.0 cm ± 0.20 cm. What is the absolute...
- 14M.1.SL.TZ2.3: A particle accelerates from rest. The graph shows how the acceleration a of the particle...
- 14M.1.HL.TZ2.6: A projectile is fired from level ground with speed v at an angle θ to the ground. Ignoring...
- 14M.2.SL.TZ1.6d: Aibhe moves so that she is sitting at a distance of 0.75 m from the centre of the...
- 14M.2.SL.TZ1.6a: Determine the magnitude of the velocity of Aibhe relative to (i) Euan. (ii) the centre of...
- 14M.2.SL.TZ1.6b: (i) Outline why Aibhe is accelerating even though she is moving at constant speed. (ii) Draw...
- 15N.1.HL.TZ0.2: An object is dropped from rest. Air resistance is not negligible. What is the acceleration of...
- 15N.1.HL.TZ0.6: A student throws a stone with velocity \(v\) at an angle \(\theta \) to the vertical from the...
- 15N.1.SL.TZ0.3: An object is at rest at time \(t = 0\). The variation with \(t\) of the acceleration \(a\) of...
- 14N.1.SL.TZ0.3: An object is dropped from rest above the Earth’s surface. Air resistance acts on the object....
- 15N.2.SL.TZ0.6a.i: Show that the time taken for B to pass I is approximately 28 s.
- 15N.2.SL.TZ0.6a.ii: Calculate the distance travelled by B in this time.
- 14N.1.HL.TZ0.4: The resultant force acting on an object of mass 5.0kg varies with time as shown. The object...
- 14N.1.HL.TZ0.24: The diagram shows the trajectory of an object projected in the absence of air...
- 14N.2.SL.TZ0.4d.i: Estimate the distance that the ship takes to stop. Assume that the acceleration is uniform.
- 14N.2.SL.TZ0.4d.ii: It is unlikely that the acceleration of the ship will be uniform given that the resistive...
- 11N.1.SL.TZO.6: A stone is thrown vertically upwards from the surface of Earth. Which of the following...
- 11N.1.SL.TZO.7: An ice-hockey puck is slid along ice in a straight line. The puck travels at a steady speed...
- 12N.1.SL.TZ0.5: An object is thrown upwards leaving the thrower’s hand at time t=0. Which graph shows how...
- 12N.1.SL.TZ0.9: A ball is released at time t=0 above a horizontal surface. The graph shows the variation of...
- 11N.1.HL.TZ0.6: A ball is thrown horizontally from the top of a high cliff. Air resistance is...
- 12N.1.HL.TZ0.6: Balls X and Y are at the same height. X is projected horizontally at the same time that Y is...
- 13N.1.SL.TZ0.3: A tennis ball is dropped from the top of a high building. Air resistance cannot be neglected....
- 13M.1.HL.TZ1.22: A ball of mass m is thrown horizontally from a cliff with initial velocity u. Air resistance...
- 13M.1.HL.TZ1.2: Two identical balls are dropped from a tall building, one a few seconds after the other. Air...
- 13M.1.HL.TZ1.3: Which of the following is always true for an object moving in a straight line at constant...
- 12M.1.SL.TZ1.3: The velocity–time graph for an accelerating object that is traveling in a straight line is...
- 12M.1.SL.TZ2.3: The graph shows the acceleration a of an object as time t varies. What is the magnitude of...
- 13M.2.SL.TZ1.7c: The diagram shows two isolated electrons, X and Y, initially at rest in a vacuum. The initial...
- 12M.1.HL.TZ1.20: A gun fires a bullet of mass m at a horizontal velocity of v. Air resistance on the bullet is...
- 11M.1.SL.TZ2.5: A car accelerates from rest. The acceleration increases with time....
- 11M.1.SL.TZ2.4: The graph shows the variation with time t of the acceleration a of...
- 13M.2.SL.TZ2.2a: Fiona drops a stone from rest vertically down a water well. She hears the splash of the stone...
- 13M.2.SL.TZ2.2b: After the stone in (a) hits the water surface it rapidly reaches a terminal speed as it falls...
- 12M.2.SL.TZ2.2a: State the difference between average speed and instantaneous speed.
- 12M.2.SL.TZ2.2b: The graph shows how the acceleration a of a particle varies with time t. At time t = 0 the...
- 13M.1.SL.TZ2.3: An object, initially at rest, travels a distance d in a time t at a constant acceleration....
- 13M.1.SL.TZ2.4: An object is released above the surface of Earth. Which of the following correctly describes...
- 13M.1.SL.TZ2.5: An object of mass m is connected via a frictionless pulley to an object of mass M, where M...
- 13M.1.SL.TZ2.6: The graph shows the variation with distance x of the magnitude of the net force F acting on a...
- 13M.1.HL.TZ2.7: An object is thrown horizontally from the edge of a high crater on the Moon. The Moon has no...
- 11M.2.SL.TZ2.2a: Calculate the maximum height reached by the stone as measured from the...
- 11M.2.SL.TZ2.2b: Determine the time for the stone to reach the surface of the sea...
- 12M.2.HL.TZ1.8a: (i) State the magnitude of the horizontal component of acceleration of the ball after it...
- 12M.2.HL.TZ1.8b: (i) Calculate the time taken for the ball to reach the ground. (ii) Calculate the horizontal...
- 12M.2.HL.TZ1.8c: Another projectile is launched at an angle to the ground. In the absence of air resistance it...
- 11N.2.SL.TZ0.4d: The power driving the railway engine is switched off. The railway engine stops, from its...
- 11N.2.SL.TZ0.9a: Whilst being raised, the load accelerates uniformly upwards. The weight of the cable is...
- 11N.2.HL.TZ0.4c: An astronaut visiting Titania throws an object away from him with an initial horizontal...
- 12N.2.HL.TZ0.7a: (i) Show that the maximum height reached by the first stage of the rocket is about 170...
- 12N.2.HL.TZ0.7b: A full-scale version of the rocket reaches a height of 260km when the first stage falls away....
- 13N.2.SL.TZ0.6e: The trucks X and Y come to rest after travelling a distance of 40 m along the horizontal...
- 11M.1.SL.TZ1.4: Joseph runs along a long straight track. The variation of his speed v with time t is shown...
- 11M.1.SL.TZ1.5: A car of mass 1000 kg accelerates on a straight, flat, horizontal road with an acceleration a...
- 11M.2.SL.TZ1.6a: State, without any calculations, how the graph could be used to determine the distance...
- 11M.1.HL.TZ1.23: A stone is thrown from a cliff and it lands in the sea as shown below. Air resistance is...
- 11M.2.HL.TZ1.2a: State why the work done by the gravitational force during one full revolution of the probe is...
- 11M.2.HL.TZ1.13a: The electron’s path while in the region of magnetic field is a quarter circle. Show that...
- 11M.2.SL.TZ1.6b: (i) In the space below, draw and label arrows to represent the forces on the ball at 2.0...
- 09M.1.SL.TZ1.4: The graph is a speed versus time graph for an object that is moving in a straight...
- 09M.1.HL.TZ1.6: An object moves in the \(x{\text{-}}y\) plane. The graphs below show how the component of its...
- 09M.1.SL.TZ1.3: A skydiver jumped out of an airplane. On reaching a terminal speed of...
- 10M.1.HL.TZ1.3: Which of the following quantities can be determined from a speed-time graph of a particle...
- 10M.1.SL.TZ1.3: The time taken for a stone dropped from rest to fall vertically through 16 m is 2.0 s. Based...
- 09N.1.SL.TZ0.3: Two balls of different mass are dropped from the top of a tall building one after the other....
- 10N.1.HL.TZ0.23: The diagram shows the path of a projectile that is launched with velocity \(v\). Air...
- 10N.1.SL.TZ0.3: A raindrop falling from rest at time \(t = 0\) reaches terminal velocity. Which graph best...
- 09N.1.HL.TZ0.8: A football is kicked with an initial velocity \(u\) at an angle \(\theta \) to the horizontal...
- 10N.1.HL.TZ0.4: A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the...
- 09N.1.HL.TZ0.3: Two cars, X and Y, are travelling towards a junction. The velocity of car X is VX and car Y...
- 09N.1.SL.TZ0.4: The graph shows how the velocity of a particle varies with time. Which of the following...
- 10N.1.SL.TZ0.4: The graph shows how the displacement \(d\) of an object varies with time \(t\). The tangent...
- 10N.2.HL.TZ0.B4Part1.c: (i) Ignoring air resistance, calculate the horizontal distance travelled by the clay...
- 10N.2.SL.TZ0.A2a: average acceleration of the car in stage 1.
- 10N.2.SL.TZ0.A2b: average net force required to accelerate the car in stage 2.
- 10N.2.SL.TZ0.A2c: total distance travelled by the car in 12 s.
- 10N.2.SL.TZ0.B3Part2.b: (i) Show that the initial speed of the clay block after the air-rifle pellet strikes it...
- 10N.2.SL.TZ0.B3Part2.d: The clay block is dropped from rest from the edge of the table and falls vertically to the...
