The graph shows the variation with time $t$ of the velocity $v$ of a trolley moving along a straight track.

A stone is thrown vertically upwards from the edge of a balcony with an initial speed of $12.0\ \text{m s}^{-1}$. Air resistance is negligible. Take upward as positive and $g=9.81\ \text{m s}^{-2}$.

The graph shows the variation with time $t$ of the velocity $v$ of a cyclist moving along a straight road.

A drone is displaced $180\ \text{m}$ at an angle of $35^\circ$ north of east.

A student releases a steel sphere from rest through different heights $h$. The student plots $h$ against $t^2$, where $t$ is the measured fall time.

A student walks along a straight corridor. The graph shows the student's position $x$ measured from the classroom door as a function of time $t$. Positive $x$ is away from the classroom door.

A motion sensor records the position $x$ of a trolley moving along a straight horizontal track. The table shows the position at equal time intervals.

A ball is launched at the same speed and angle in two trials. In one trial fluid resistance is negligible. In the other trial fluid resistance is significant. The figure shows the two trajectories.

A ball rolls horizontally from a table at a speed of $3.2\ \text{m s}^{-1}$. The tabletop is $1.25\ \text{m}$ above the floor. Air resistance is negligible.

Two identical balls are launched with the same initial speed and angle. One ball moves in a vacuum and the other moves through air.

A rescue package is projected from a cliff at $18\ \text{m s}^{-1}$ at an angle of $20^\circ$ below the horizontal. The cliff is $55\ \text{m}$ above sea level. Air resistance is negligible.

A car accelerates from rest along a straight road. Its acceleration decreases as its speed increases. A student suggests using $s=ut+\frac{1}{2}at^2$ with a single value of $a$ to predict the distance travelled in the first $10\ \text{s}$.

A small sphere is released from rest and falls vertically through oil. The graph shows how its speed varies with time.

A small remote-controlled cart moves along a straight track. The graph shows the velocity $v$ of the cart as a function of time $t$. Positive velocity is to the right.

A steel sphere is released from rest and falls different vertical distances $h$. The time $t$ for each fall is measured. The graph shows $h$ plotted against $t^2$.

A ball leaves the edge of a horizontal table with horizontal velocity. The ball lands on the floor. The diagram and table show the measured launch height and horizontal range. Fluid resistance is negligible.

A runner's route is tracked using a GPS device. The table gives the runner's east and north coordinates relative to the starting point at different times. The route is not a straight line.

A projectile is launched horizontally in a uniform gravitational field with negligible fluid resistance. In a separate experiment, a negatively charged particle enters a uniform upward electric field at right angles to the field with negligible resistance.

A cyclist starts from rest and then approaches a steady speed. The graph shows the cyclist's velocity $v$ as a function of time $t$.

A video analysis records the motion of a ball launched at an angle above the horizontal. The origin is the launch point. The graphs show horizontal position $x$ and vertical position $y$ as functions of time $t$. Fluid resistance may be neglected unless the data suggest otherwise.

A ball is thrown vertically upwards and then caught at the same height. A motion sensor records the vertical velocity $v$ as a function of time $t$. Upwards is positive.

A computer model predicts the vertical motion of a small sphere falling through a fluid from rest. Downward is taken as positive. The graph shows the speed of the sphere as a function of time.

A small drone moves vertically along a straight line. Upwards is defined as positive. Its velocity changes uniformly in three stages: from $0$ to $12\,m\,s^{-1}$ during the first $3.0\,s$, remains at $12\,m\,s^{-1}$ for the next $4.0\,s$, and then changes uniformly to $-4.0\,m\,s^{-1}$ during the final $2.0\,s$.

A ball is projected horizontally from the edge of a cliff at a speed of $14\,m\,s^{-1}$. The ball lands on level ground $45\,m$ below the launch point. Fluid resistance is negligible.

A cyclist travels on straight roads from point A to point B, then to point C. From A to B the cyclist travels $600\,m$ east. From B to C the cyclist travels $800\,m$ north. The total time for the journey is $200\,s$.

A car driver sees a hazard and then brakes to a stop on a straight road. The graph shows the velocity of the car as a function of time. The first section represents the driver's reaction time before braking begins.

A motion sensor records the speed of a falling coffee filter. The speed increases rapidly at first and then gradually approaches a constant value.

A ball is launched from level ground with speed $18\,m\,s^{-1}$ at $35^\circ$ above the horizontal. It lands at the same vertical height. Fluid resistance is negligible.

A student releases a steel sphere from rest from several measured heights and records the time for each fall using an electronic timer. The student plots height $h$ against $t^2$.

A rescue package is released from a drone moving horizontally at $22\,m\,s^{-1}$ at a height of $80\,m$ above horizontal ground. At the instant of release the package is given an additional downward vertical speed of $5.0\,m\,s^{-1}$. Fluid resistance is negligible.

Two remote-controlled boats move on a lake. Boat P has constant velocity $3.0\,m\,s^{-1}$ east. Boat Q is initially $40\,m$ east of P and moves west with constant velocity $1.0\,m\,s^{-1}$. East is defined as positive.

A ball is projected at an angle above the horizontal through air. A second identical ball is projected with the same initial velocity in a vacuum.

A trolley moves along a straight track. Its velocity-time graph is curved because the acceleration is not constant.

A train travelling at $28\,m\,s^{-1}$ sees a signal ahead and brakes with uniform acceleration. It stops after travelling $210\,m$. A second signal is $180\,m$ ahead of the point where braking begins.

A physics student derives equations of uniformly accelerated motion from a straight-line velocity-time graph. The student then wants to use the same equations for a rocket whose acceleration increases during launch.