HARD
AS and A Level
IMPORTANT
Earn 100

The graph shows the motion of a ball when it is thrown upwards in the air until it hits the ground. Find the height above the ground from which it was thrown. (Take g=10 m s-2)

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Important Questions on Velocity and Acceleration

EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 5

The sketch graph shows the motion of a boat. Find the distance the boat travels during the motion.

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EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 6

The graph shows the journey of a cyclist travelling in a straight line from home to school. Find the distance between her home and the school.

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HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 7
A racing car is being tested along a straight 1 km course. It starts from rest, accelerating at a constant rate of 10 m s-2 for 5 s. It then travels at a constant speed until a time t s after it started moving. Show that the distance covered by time t is given by s=125+50(t-5). Hence, find how long it takes to complete the course.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 8
A rowing boat accelerates from rest at a constant rate of 0.4 m s-2 for 5 s. It continues at constant velocity for some time until decelerating to rest at a constant rate of 0.8 m s-2. In total, the boat covers a distance of 30 m. Find how long was spent at constant speed.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 9
A cyclist accelerates at a constant rate for 10 s, starting from rest and reaching a speed of v m s-1. Then she remains at that speed for a time interval of 20 s. At the end of this she has travelled 300 m in total. Find the value of v.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 11
A crane lifts a block from ground level at a constant speed of v m s-1. After 5 s the block slips from its shackles and decelerates at 10 m s-2. It reaches a maximum height of 6 m. Find the value of v.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 12
A car is at rest when it accelerates at 5 m s-2 for 4 s. It then continues at a constant velocity. At the instant the car starts moving, a truck passes it, moving at a constant speed of 22 m s-1. After 10 s the truck starts slowing at 1 m s-2 until coming to rest.
Show that the velocities are equal after 12 s and, hence, find the maximum distance between the car and the truck.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 1 - Velocity and Acceleration>EXERCISE 1E>Q 12
A car is at rest when it accelerates at 5 m s-2 for 4 s. It then continues at a constant velocity. At the instant the car starts moving, a truck passes it, moving at a constant speed of 22 m s-1. After 10 s the truck starts slowing at 1 m s-2 until coming to rest.
Show that the distance covered at a time t s from the start by the car and the truck, for t>10, are given by 40+20(t-4) and 220+22(t-10)-12(t-10)2, respectively. Hence, find the time at which the car passes the truck.