Higher Still Multiple Choice Mechanics 1.1

Which one of the following pairs is entered correctly? Scalar Vector weight force force mass mass distance distance momentum momentum time

Displacement Distance 5 km East 5 km 7 km East 5 km East A yacht follows the course shown during a race that starts and finishes at X. Which entry gives the displacement and distance of the yacht at position Z (relative to the start)? Z Displacement Distance 5 km East 5 km 7 km East 5 km East 5 km 7 km East 7 km East 7 km 5 km East 7 km

A boy, sitting on the back of a lorry which is travelling East at 3 m s–1, throws a ball at a speed of 4 m s–1 across the lorry in the direction indicated by the arrow XY. Which of the following represents the magnitude and direction of the velocity of the ball with respect to the ground? 4 m s –1 5 m s –1 7 m s –1

Which of the following is a scalar quantity? force mass momentum velocity acceleration

I only I and II only I and III only II and III only I, II and III Consider the following three statements made by pupils about scalars and vectors. I Scalars have size only II Vectors have both size and direction III Speed is a scalar and velocity is a vector. Which statement(s) is/are true? I only I and II only I and III only II and III only I, II and III

I only II only III only II and III only I, II and III The statements below were found in a student ’ s notebook. I Acceleration, velocity and displacement are all vector quantities. II Force and weight are vector quantities but mass is a scalar quantity. III Time, distance and speed are all scalar quantities. Which statement(s) is/are true? I only II only III only II and III only I, II and III

Which of the following is a scalar quantity? weight mass momentum velocity acceleration

Which of the following is a vector quantity? Distance Time Speed Energy Weight

Which of the following groups contains two vector quantities and one scalar quantity? Time, distance and force Acceleration, mass and momentum Velocity, force and momentum Displacement, velocity and acceleration Speed, distance and momentum

A car travels from X to Y and then it travels from Y to Z, as shown in the diagram. X to Y takes a time of one hour. Y to Z also takes one hour. Which of the following is a correct list of the magnitudes of the final displacement, average speed and average velocity for the complete journey? Displacement Average speed Average velocity (km) (km hr–1) (km hr–1) 50 35 35 70 35 25 50 35 25 70 70 50 50 70 25

I only I and II only I and III only II and III only I, II and III Consider the following three statements made by pupils about scalars and vectors. I Scalars have direction only. II Vectors have both size and direction. III Speed is a scalar and velocity is a vector. Which statement(s) is/are true? I only I and II only I and III only II and III only I, II and III

A long-distance athlete runs from point P to point Q and then jogs to point R. She takes 20 minutes to run from P to Q and then a further 40 minutes to jog from Q to R. Which row in the following table correctly gives her average speed and her average velocity for the whole journey from P to R? Average Average speed velocity 7.0 km h -1 5.0 km h -1 bearing 143° 7.0 km h -1 7.0 km h -1 bearing 127° 7.0 km h -1 5.0 km h -1 bearing 127° 5.0 km h -1 7.0 km h -1 bearing 127° 5.0 km h -1 5.0 km h -1 bearing 143°

The acceleration of an object which starts from rest varies with time as shown. Which graph is the corresponding velocity time graph?

The following graph shows how the force applied to an object of mass 5 kg varies with time. The object is initially at rest.

A ball is thrown vertically upwards A ball is thrown vertically upwards. When it falls to the ground, it bounces several times before coming to rest. Which one of the following velocity-time graphs represents the motion of the ball from the instant it leaves the thrower’s hand until it hits the ground for a second time?

The velocity-time graph for a certain train journey along a straight track is shown. What is the distance travelled by the train in the first 45 seconds? 300 m 600 m 900 m 1200 m 15000 m

I only II only I and III only II and III only I, II and III A car driver presses the accelerator sharply when the traffic lights go green. The unbalanced force on the car varies with time as shown. The graphs I to III attempt to show the variation with time of I the car’s displacement II the car’s speed III the car’s acceleration Which of these graphs is/are correct? I only II only I and III only II and III only I, II and III

A car is accelerating uniformly in a straight line A car is accelerating uniformly in a straight line. Which of the following displacement-time graphs could represent its motion?

The following velocity-time graph represents the motion of a trolley The following velocity-time graph represents the motion of a trolley. Which of the graphs below is the acceleration-time graph for the motion?

20. A trolley is given a sharp push along a rough horizontal bench 20. A trolley is given a sharp push along a rough horizontal bench. Which distance-time graph represents its subsequent motion if distance is measured from the starting point of the trolley?

The velocity-time graph for the motion of a body is as shown The velocity-time graph for the motion of a body is as shown. Which of the following motions could produce such a velocity- time graph? A body projected vertically upwards at 25 m s –1 A body projected upwards at 25 m s –1 at an angle of 60° to the horizontal. A body projected horizontally at 25 m s –1 A body projected downwards at 25 m s –1 at an angle of 60° to the horizontal. A body projected vertically downwards at 25 m s –1

A boy drops a stone down a dry well A boy drops a stone down a dry well. If he sees the stone strike the bottom after 3 seconds, how deep is the well? 15 m 30 m 45 m 60 m 90 m

1/5 full 1/4 full 1/2 full 3/4 full 4/5 full A boy drops a stone down a dry well. He sees the stone strike the bottom after 2.0 s. He repeats the experiment when there is water in the well. He sees the stone enter the water after 1.0 s. How full is the well when he drops the second stone? 1/5 full 1/4 full 1/2 full 3/4 full 4/5 full

The acceleration due to gravity is 10 m s–2 on Earth and 26 m s–2 on another planet. On Earth, a ball released from rest takes 0.5 s to drop through a certain height. Assuming that the resistance of the atmospheres can be neglected in both cases, the time for the ball to drop from rest through the same height on the other planet would be 0.5 x 10/26 s 0.5 x 26/10 s 0.5 x (10/26)² s 0.5 x (26/10)² s

A lift on an oil rig rises vertically with a constant speed of 2 A lift on an oil rig rises vertically with a constant speed of 2.0 m s–1 . After it passes a platform, a spanner falls from the lift and hits the platform 3.0 seconds later. The height of the lift above the platform at the instant the spanner falls is 30 m 39 m 45 m 51 m 90 m

A car accelerates uniformly from rest and travels a distance of 60m in 6 s. Its acceleration in m s–2 may be calculated from 0.5 x 60/6 s 1 x 60/6 s 2 x (60/6)² s 0.5 x 60/(6²) s 2 x 60/(6²) s

A car travelling at 30 m s–1 starts to brake when it is 50 m from a stationary lorry. The car moves in a straight line and manages to stop just before reaching the lorry. What is the deceleration of the car, in m s–2 ? 0.6 4.5 9 10 18

A car accelerates uniformly from rest and after 3 s it reaches a speed of 6 m s–1. During the next second it will travel a distance of 2 m 6 m 7 m 8 m 9 m

A car is travelling at 25 m s–1 A car is travelling at 25 m s–1. The brakes are applied for 5 s and the speed is reduced to 15 ms–1. How far does the car travel in this time if the deceleration is uniform? 25 m 50 m 75 m 100 m 175 m

A car accelerates uniformly from rest and travels a distance of 96m in 8 s. Its acceleration in m s–2 is 0.75 3 6 12 24

A car travelling at 20 m s–1 accelerates at 0 A car travelling at 20 m s–1 accelerates at 0.5 ms–2 till it is travelling at 30 m s –1. During this period of acceleration, it will travel a distance of 20 m 50 m 100 m 250 m 500 m

A rocket is launched by being fired up a ramp of length 3. 6 m A rocket is launched by being fired up a ramp of length 3.6 m. It reaches a velocity of 120m s–1 at the top. The average acceleration, in m s–2, is 20 33 200 432 2000

An object attached to a parachute falls from a helicopter which is hovering at a height of 120 m above point X. The object falls with a constant vertical component of velocity of value 12 m s–1. A steady side- wind gives the object a constant horizontal component of velocity of value 5 m s–1 24 m 50 m 60 m 120 m 150 m

A train decelerates uniformly from 12. 0 m s-1 to 5 A train decelerates uniformly from 12.0 m s-1 to 5.0 m s-1 while travelling a distance of 119.0 m along a straight track. The deceleration of the train is 0.5 m s-2 0.7 m s-2 1.2 m s-2 7.0 m s-2 14.0 m s-2

A ball is projected vertically upwards with an initial speed of 40 m s -1 . The acceleration due to gravity can be taken to be 10 m s -2 . What total time will the ball take to rise to its highest point and then return to its starting point? 2 s 4 s 6 s 8 s 16 s

A cyclist is travelling along a straight, level road at 10 m s-1 A cyclist is travelling along a straight, level road at 10 m s-1. She applies her brakes and comes to rest after travelling a further 20 m. The braking force is constant. What is her deceleration? 0.25 m s-2 0.50 m s-2 2.0 m s-2 2.5 m s-2 5.0 m s-2

A ball is projected horizontally from the top of a cliff with a speed of 40 m s–1 . Assuming no air resistance, in 3 seconds its speed will be 30 m s–1 40 m s–1 50 m s–1 60 m s–1 70 m s–1

An object is projected from X An object is projected from X. If air resistance is negligible the object strikes the ground at an angle of 30° 40° 50° 60° 90°

Vertical component of velocity m/s The velocity time graph for the vertical component of the velocity of an object thrown upwards and falling onto the roof of a building is shown below. The height of the building is Vertical component of velocity m/s 10 m 40 m 45 m 50 m 80 m

A ball is thrown horizontally off the top of a vertical cliff with a velocity of 5 m s-1 . At what time after release will the velocity of the ball be directed at 45° to the horizontal? (Neglect air friction) 0.5 s 1.0 s 2.0 s 4.0 s 5.0 s

A stunt motorcyclist attempts to jump a river which is 5 m wide A stunt motorcyclist attempts to jump a river which is 5 m wide. The bank from which he will take off is 2 m higher than the bank on which he will land as shown below. What is the minimum horizontal speed he must achieve just before take-off to avoid landing in the river? 2.0 m s–1 3.2 m s–1 7.9 m s–1 10.0 m s–1 12.5 m s–1

A motorcross rider takes a jump which is 1. 25 m high A motorcross rider takes a jump which is 1.25 m high. He lands 10 m from the base of the jump. Assuming that he was travelling horizontally when he left the edge and that air resistance is negligible, at what speed did he approach the jump? 5 m s–1 10 m s–1 15 m s–1 20 m s–1 25 m s–1

I only I and III only II only II and III only I, II and III Ball P is projected vertically upwards with a velocity v, while an identical ball Q is projected at the same time with velocity 2v at an angle of 30° to the horizontal. In the absence of air resistance, which of the following statements is/are true? I P and Q will hit the ground at the same instant II The vertical deceleration of P is greater than that of Q III P will rise to a greater vertical height than Q I only I and III only II only II and III only I, II and III

A ball is projected with a horizontal velocity from a bench A ball is projected with a horizontal velocity from a bench. The ball travels a horizontal distance, XY, as shown. Which of the following is/are used to calculate the distance XY? I The mass of the ball II The height of the table III The horizontal velocity of the ball II only III only I and III only II and III only I, II and III

The graphs show the horizontal and vertical components of velocity of a projectile, from the moment it is fired until it lands 8 s later. What is the speed of the projectile 2 s after firing? 15 m s–1 17.5 m s–1 20 m s–1 25 m s–1 35 m s–1

A bomb is released from a plane which is flying horizontally in a direction corresponding to right to left on this slide. What is the path of the bomb, relative to an observer in the plane, assuming that air resistance is negligible?

An aeroplane flying at 150 m s-1 in level flight 125 m above the ground, releases a bomb at a horizontal distance x from the target T. If the effect of air resistance is neglected, the bomb will score a direct hit on the target if x is acceleration due to gravity = 10 m s-2 30 m 150 m 300 m 750 m 3750 m

An aeroplane is flying at 160ms-1 in level flight 80 m above the ground. It releases a package at a horizontal distance X from the target T. If the effect of air resistance is neglected, the bomb will score a direct hit on the target if X is acceleration due to gravity = 10 m s-2 40 m 160 m 320 m 640 m 2560 m.

The diagram shows the path of a projectile fired with a horizontal velocity v from the top of a cliff of height h. Which of the following values of v and h will give the greatest value of the angle ? v (m s–1 ) h (m) 10 30 30 50 50 10 30 30 10 50

A cannonball is fired horizontally at 40 m s-1 from the top of a vertical cliff and it hits its target. The height of the cliff above the level of the sea is 80 m. How far is the target from the foot of the cliff, if air resistance is negligible and the acceleration due to gravity is 10 m s-2 ? 320 m 160 m 80 m 45 m 40 m

A stone is thrown horizontally with a speed of 12 m s-1 over the edge of a vertical cliff. It hits the sea at a horizontal distance of 60 m out from the base of the cliff. Assuming that air resistance is negligible and that the acceleration due to gravity is 10 m s-2 , the height from which the stone was projected above the level of the sea is 5 m 25 m 50 m 125 m 250 m

A projectile is fired at an angle a to the horizontal A projectile is fired at an angle a to the horizontal. The vertical and horizontal components of velocity at the instant of firing are as shown. What will be the vertical and horizontal components of velocity after 5 s, if air resistance is negligible? Vertical Horizontal component component of velocity of velocity 30 m s–1 30 m s–1 40 m s–1 30 m s–1 30 m s–1 80 m s–1 40 m s–1 80 m s–1 90 m s–1 80 m s–1