Q1
Answer
Shown below is the displacement time graph of a particle.
  1. Calculate the total distance travelled by the particle.
  2. Calculate the average speed of the particle.
  3. Calculate the average velocity of the particle.
  1. $14$
  2. $\dfrac{14}{6}$
  3. $\dfrac{1}{3}$
Q2
Answer
Shown below is the displacement time graph of a particle.
  1. Calculate the total distance travelled by the particle.
  2. Calculate the velocity of the particle between $t = 2$ and $t = 5$.
  3. Draw the velocity time graph of the particle.
  1. $16$
  2. $-3$

Q3
Answer
Shown below is the velocity time graph of a particle.
  1. Calculate the acceleration between $t = 0$ and $t = 3$.
  2. Calculate the total distance travelled by the particle.
  1. 2
  2. 51
Q4
Answer
Shown below is the velocity time graph of a particle. Calculate the total distance travelled by the particle.
65
Q5
Answer
Shown below is the velocity time graph of a particle.
  1. Calculate the total distance travelled by the particle.
  2. Calculate the average velocity of the particle.
  1. 90
  2. 6
Q6
Answer
Shown below is the velocity time graph of a particle.
  1. Calculate the total distance travelled by the particle.
  2. Calculate the displacement of the particle from its original position.
  1. $27$
  2. $-21$
Q7
Answer
Shown below is the velocity time graph of a particle. Calculate how long it takes the particle to travel a distance of 60.
12.5
Q8
Answer
Shown below is the velocity time graph of a particle.
  1. Calculate the distance travelled by the particle in the first 8 seconds of motion.
  2. Calculate the acceleration of the particle after $t = 4$.
  3. Write down an expression for the velocity of the particle at time $t$ after $t = 4$.
  4. Find the total time it takes for the particle to return to its initial position.
  1. $36$
  2. $-2$
  3. $-2t + 16$
  4. $t = 14$
Q9
Answer
Given $a = 5$, $u = 2$ and $t = 4$, find $v$.
$22$
Q10
Answer
Given $u = 5$, $v = 9$ and $t = 2$, find $s$.
$14$
Q11
Answer
Given $u = 5$, $a = 4$ and $s = 3$, find two possible values of $v$.
$-7, 7$
Q12
Answer
Given $s = 5$, $a = 2$ and $t = 3$, find $u$.
$-\dfrac{4}{3}$
Q13
Answer
Given $v = 2$, $a = 4$ and $s = -5$, find $t$ correct to 3 significant figures.
$2.16$
Q14
Answer
Given $u = 5$, $a = 3$ and $s = 2$, find $t$ correct to 3 significant figures.
$0.361$
Q15
Answer
A car accelerates at $3$ m s-2 from rest. Find the time it takes the car to travel $30$ m.
$4.47$
Q16
Answer
A car crosses the finish line of a race with a speed of $25$ m s-1 and immediately decelerates. It comes to a stop after $2$ s. Find the distance travelled by the car after the end of the race.
$25$
Q17
Answer
Given the following, find $x$ and $t$:
s $x$ $x$
u $0$ $2$
v
a $2$ $1$
t $t$ $t$
$t = 4$ and $x = 16$
Q18
Answer
Given the following, find $x$ and $t$:
s $x$ $x$
u $3$ $5$
v
a $4$ $2$
t $t$ $t$
$t = 2$ and $x = 14$
Q19
Answer
Given the following, find $x$ and $t$ to 3 significant figures:
s $x$ $x-2$
u
v $4$ $-2$
a $-2$ $2$
t $t$ $t$
$t = 0.303$ and $x = 1.30$
Q20
Answer
Given the following, find the possible values of $x$ and $t$:
s $x$ $x-1$
u $1$
v $3$
a $3$ $-4$
t $t-1$ $t$
$t = 1$ and $x = 0$ or $t = \dfrac{7}{3}$ and $x = \dfrac{4}{3}$
Q21
Answer
The points A and B lie on a straight road. A car passes through A with acceleration $2$ m s-2 and reaches B with speed $6$ m s-1. A second car passes through A with acceleration $3$ m s-2 and speed $3$ m s-1. It takes both cars the same amount of time to travel between A and B. Find how long it took.
$1.2$ s
Q22
Answer
The points A and B lie on a straight road. A car passes through A with speed $2$ m s-1 and acceleration $2$ m s-2. A second car passes through A 1 second later with speed $1$ m s-1 and acceleration $5$ m s-2. The cars reach B at the same time. Find the distance between A and B.
$21.4$ m
Q23
Answer
The points A and B lie on a straight road. A car passes through A with speed $3$ m s-1 and comes to rest at B. A second car starts from rest at A and passes through B with speed $5$ m s-1. It takes the second car $2$ seconds less to travel between the two points. Find the distance between A and B.
$7.5$ m
Q24
Answer
The points A and B lie on a straight road. A car passes through A with acceleration $4$ m s-2 and speed $2$ m s-1. At the same time, a second car passes through A with acceleration $1$ m s-2 and speed $5$ m s-1. When the first car reaches B, the second car is 2 m away. Find the distance between A and B.
$17.8$ m
Q25
Answer
The points A and B lie on a straight road. A car passes through A with acceleration $5$ m s-2 and speed $4$ m s-1. Two seconds later, a second car passes through A with acceleration $8$ m s-2 and speed $5$ m s-1. When the first car reaches B, the second car is 10 m away. Find two possible times it took the first car to travel between A and B.
$1.21$ or $8.79$ s
Q26
Answer
A car is travelling along a road and begins to accelerate with constant acceleration. In the first 4 seconds after accelerating, it travels 100 m. In the next 2 seconds, it travels a further 100 m. Find the initial speed of the car.
$\dfrac{50}{6}$
Q27
Answer
A car begins to decelerate uniformly. In the first 2 seconds, it travels 40 m. In the next 2 seconds, it travels a further 20 m. Find the speed of the car before it started decelerating.
$25$
Q28
Answer
The points A, B and C lie on a straight road in that order. A car travels from A to C with constant acceleration. It starts from rest and takes 6 s to reach B, and a further 2 s to reach C. Given that the distance BC is 100 m, calculate the distance AC to 3 significant figures.
$229$ m