Paper 1 Kinematics Drills

Original MCQs generated from learnt 9749 Paper 1 patterns and the Topic 02 Kinematics wiki notes.

Q1

A runner travels $300\mathrm{m}$ east and then $200\mathrm{m}$ west in $100\mathrm{s}$. Taking east as positive, what are the average speed and average velocity?

A. $1.0\mathrm{m}{\mathrm{s}}^{-1}$ and $5.0\mathrm{m}{\mathrm{s}}^{-1}$ east
B. $5.0\mathrm{m}{\mathrm{s}}^{-1}$ and $1.0\mathrm{m}{\mathrm{s}}^{-1}$ east
C. $5.0\mathrm{m}{\mathrm{s}}^{-1}$ and $1.0\mathrm{m}{\mathrm{s}}^{-1}$ west
D. $1.0\mathrm{m}{\mathrm{s}}^{-1}$ and $5.0\mathrm{m}{\mathrm{s}}^{-1}$ west

Q2

Which statement is always correct?

A. Negative acceleration means an object is slowing down.
B. Zero velocity at an instant means acceleration is zero.
C. If velocity and acceleration are in opposite directions, speed is decreasing.
D. If displacement is zero, distance travelled is zero.

Q3

A velocity-time graph is a straight line with positive gradient and crosses the time axis from negative to positive velocity. Which statement is correct at the crossing point?

A. The displacement must be zero.
B. The acceleration is zero.
C. The object is instantaneously at rest.
D. The total distance travelled is zero.

Q4

The gradient of a displacement-time graph at a particular instant gives

A. instantaneous speed.
B. instantaneous velocity.
C. average velocity.
D. acceleration.

Q5

The area under a velocity-time graph between two times gives

A. acceleration.
B. total distance always.
C. signed displacement.
D. average speed.

Q6

An object starts from rest and accelerates uniformly at $2.0\mathrm{m}{\mathrm{s}}^{-2}$ for $5.0\mathrm{s}$. What is its displacement?

A. $5.0\mathrm{m}$
B. $10\mathrm{m}$
C. $25\mathrm{m}$
D. $50\mathrm{m}$

Q7

A car moving at $18\mathrm{m}{\mathrm{s}}^{-1}$ brakes uniformly to rest in $6.0\mathrm{s}$. What is the magnitude of its acceleration?

A. $0.33\mathrm{m}{\mathrm{s}}^{-2}$
B. $3.0\mathrm{m}{\mathrm{s}}^{-2}$
C. $12\mathrm{m}{\mathrm{s}}^{-2}$
D. $108\mathrm{m}{\mathrm{s}}^{-2}$

Q8

Which condition is required before the standard SUVAT equations may be applied directly over an interval?

A. The velocity must be positive.
B. The acceleration must be constant.
C. The displacement must be horizontal.
D. The object must start from rest.

Q9

A ball is thrown vertically upwards. Air resistance is negligible and upward is positive. At the highest point,

A. $v=0$ and $a=0$.
B. $v=0$ and $a=-g$.
C. $v=+g$ and $a=0$.
D. $v=-g$ and $a=-g$.

Q10

An object has $u=12\mathrm{m}{\mathrm{s}}^{-1}$, $a=-3.0\mathrm{m}{\mathrm{s}}^{-2}$ and $t=5.0\mathrm{s}$. What is its final velocity?

A. $-3.0\mathrm{m}{\mathrm{s}}^{-1}$
B. $3.0\mathrm{m}{\mathrm{s}}^{-1}$
C. $15\mathrm{m}{\mathrm{s}}^{-1}$
D. $27\mathrm{m}{\mathrm{s}}^{-1}$

Q11

A cyclist has a velocity of $8.0\mathrm{m}{\mathrm{s}}^{-1}$ north and an acceleration of $2.0\mathrm{m}{\mathrm{s}}^{-2}$ south. What happens to the cyclist’s speed initially?

A. It increases.
B. It decreases.
C. It remains constant.
D. It becomes zero immediately.

Q12

A displacement-time graph is curved with increasing gradient. What does this show?

A. Constant velocity.
B. Increasing speed in the positive direction.
C. Increasing displacement but zero acceleration.
D. Negative velocity.

Q13

A velocity-time graph is horizontal below the time axis. Which statement is correct?

A. The object is stationary.
B. The object moves with constant negative velocity.
C. The object has constant negative acceleration.
D. The object moves a positive distance of zero.

Q14

An acceleration-time graph has constant value $-4.0\mathrm{m}{\mathrm{s}}^{-2}$ for $3.0\mathrm{s}$. What is the change in velocity?

A. $-12\mathrm{m}{\mathrm{s}}^{-1}$
B. $-1.3\mathrm{m}{\mathrm{s}}^{-1}$
C. $+1.3\mathrm{m}{\mathrm{s}}^{-1}$
D. $+12\mathrm{m}{\mathrm{s}}^{-1}$

Q15

A stone is released from rest and falls freely for $2.0\mathrm{s}$. Taking $g=9.81\mathrm{m}{\mathrm{s}}^{-2}$, how far does it fall?

A. $9.81\mathrm{m}$
B. $19.6\mathrm{m}$
C. $39.2\mathrm{m}$
D. $4.91\mathrm{m}$

Q16

In a fall with air resistance, terminal velocity is reached when

A. air resistance becomes zero.
B. weight becomes zero.
C. resultant force becomes zero.
D. acceleration equals $g$.

Q17

Which graph feature gives acceleration from a velocity-time graph?

A. Gradient.
B. Intercept on the displacement axis.
C. Area below the time axis only.
D. Curvature of a displacement-time graph.

Q18

A trolley moves with constant non-zero acceleration. Which graph must be a straight line with non-zero gradient?

A. displacement-time graph only
B. velocity-time graph only
C. acceleration-time graph only
D. speed-distance graph only

Q19

An object moves along a straight line. Its displacement is negative while its velocity is positive. This means the object is

A. at a position on the negative side of the origin and moving in the positive direction.
B. at a position on the positive side of the origin and moving in the negative direction.
C. slowing down.
D. accelerating negatively.

Q20

Which statement about total distance is correct?

A. It is the signed area under a velocity-time graph.
B. It can decrease if an object reverses direction.
C. It is found by adding magnitudes of path lengths travelled.
D. It is always equal to displacement magnitude.