TopicFurther Maths
Mechanics & vectors · SS2–SS3
Kinematics & dynamics
Motion: speed, velocity and acceleration, motion graphs and Newton’s laws.
- Before this
- Vectors
- Leads to
- Momentum, projectiles, work & energy
Learn
- 1Equations of motion and velocity–time graphsMotion in a straight line with constant acceleration: the four equations of motion, retardation, units, and distances from the area under a velocity–time graph.Done18 min
- 2Motion under gravity and motion from a formulaBodies thrown up, dropped or thrown down, with g as the acceleration; then motion given by a formula, using differentiation and integration.Done18 min
- 3Force and accelerationNewton's second law F = ma with the resultant force, impulse and change of momentum, the reaction in a lift, motion on rough floors and smooth planes, and connected particles over a pulley.Done23 min
Flashcards
13 cards: the rules, facts and methods to know by heart, with the diagrams from the lessons. They come back until you know them.
Practise
Answer kinematics & dynamics questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
Your progress is saved on this device as you practise. No account needed.
Past questions (51)
From 2008–2023: 46 WAEC, 5 NECO. Theory questions first, then objective, newest first.
Theory (40)
- NECO 2023 · Paper 2 · Q13A car starts from town and accelerates uniformly for 4 minutes until it reaches a speed of , which it maintains for 30 …
- WAEC 2023 · Paper 2 · Q8The acceleration, , of a particle starting from rest and moving at any time seconds is given by . Find …
- WAEC 2022 · Paper 2 · Q14A particle initially at rest moves in a straight line with an acceleration of . Find the: (i) velocity of the particle …
- WAEC 2022 · Paper 2 · Q15Two particles, and , of masses and respectively moved in opposite directions. moved with a velocity …
- WAEC 2020 · Paper 2 · Q15A particle starts from rest at a point and accelerates uniformly for 3 minutes until it attains a velocity of . It moves …
- WAEC 2020 · Paper 2 · Q8A ball is thrown vertically upwards with a velocity of from a point metres above the ground. How long will it take …
- WAEC 2019 · Paper 2 · Q14A body moving at accelerates uniformly at for 4 seconds. It continues the journey at this speed …
- WAEC 2019 · Paper 2 · Q15Given that , and , find …
- WAEC 2019 · Paper 2 · Q14, , and are the vertices of a parallelogram. Find the values of and .
- WAEC 2019 · Paper 2 · Q14Two forces and act on a body. Find the: (i) component of the resultant force along the …
- WAEC 2019 · Paper 2 · Q15A body of mass placed at the top of a smooth plane inclined at an angle of to the horizontal slides from rest down the …
- WAEC 2018 · Paper 2 · Q8A body is thrown vertically upwards. Its height metres at time seconds is given by . Find:
- WAEC 2018 · Paper 2 · Q14Three forces , and act on a body of mass as shown in the diagram: the …
- WAEC 2018 · Paper 2 · Q8A motorist is moving along a straight road with uniform acceleration. The motorist passes a village with a velocity of …
- WAEC 2017 · Paper 2 · Q14A body of mass is suspended by two light inextensible strings and attached to a horizontal ceiling. The strings are …
- WAEC 2017 · Paper 2 · Q14A particle is projected vertically upwards from a point with a velocity of . Find the: (i) velocity of the particle at …
- WAEC 2017 · Paper 2 · Q7A car travelling at is brought to rest with uniform retardation in 5 seconds. Find the:
- WAEC 2016 · Paper 2 · Q15A particle is projected vertically upwards from the ground with speed . Calculate the: (i) maximum height reached by the …
- WAEC 2016 · Paper 2 · Q14A block of mass rests on the floor of a lift which is moving upwards with an acceleration of . Calculate the …
- WAEC 2016 · Paper 2 · Q15Given that and , find, correct to two decimal places, the magnitudes …
- WAEC 2016 · Paper 2 · Q7A ball is thrown vertically upwards from ground level and its height after seconds is . Find, correct to one decimal …
- WAEC 2014 · Paper 2 · Q15, and are the vertices of triangle . Forces whose magnitudes are and act …
- WAEC 2013 · Paper 2 · Q17A particle is under the action of forces and . Find the force that …
- WAEC 2013 · Paper 2 · Q18The displacement, metres, of a particle from a fixed point at time seconds is given by . On a graph sheet, draw …
- WAEC 2013 · Paper 2 · Q8A stone is thrown vertically downwards from the top of a tower of height with a speed of . Find the:
- WAEC 2013 · Paper 2 · Q17A lorry of mass was kept in motion by a force of . If the lorry was initially at rest, calculate the distance …
- WAEC 2013 · Paper 2 · Q18A bullet of mass is fired horizontally into a stationary block of mass on a smooth horizontal floor. If they …
- WAEC 2013 · Paper 2 · Q8The diagram shows a light inextensible string that passes over a smooth pulley and carries masses of and at its ends. …
- WAEC 2012 · Paper 2 · Q17Forces and act on a body of mass 20 kg initially at rest on a smooth horizontal floor. …
- WAEC 2012 · Paper 2 · Q18Two bodies in motion reach a point at the same time with velocities of m s and m s and accelerations of m s …
- WAEC 2011 · Paper 2 · Q18Forces and act on a particle of mass which is at rest. Calculate …
- WAEC 2011 · Paper 2 · Q17A particle is projected vertically upwards with a speed of from a point on the ground. Find the: (i) position of the particle …
- WAEC 2011 · Paper 2 · Q18A uniform bar of length and weight is supported at two points and such that and …
- WAEC 2011 · Paper 2 · Q8A car moving on a straight road with constant acceleration has a velocity of at an instant. If 15 minutes later it had …
- WAEC 2010 · Paper 2 · Q18Two forces N and N act on a body of mass 2 kg and cause it to move. Find, correct to …
- WAEC 2009 · Paper 2 · Q8The position vector of a body, with respect to the origin, is given by at any time seconds.
- WAEC 2009 · Paper 2 · Q17A body of mass 3 kg resting on a smooth surface is acted upon by forces , , …
- WAEC 2008 · Paper 2 · Q18An object is thrown up a smooth plane inclined at an angle of to the horizontal. If the plane is long and the object …
- WAEC 2008 · Paper 2 · Q7A car travelling at a velocity of covers a distance of . If it was accelerating at , …
- WAEC 2008 · Paper 2 · Q16A body, decelerating at , passes a certain point with velocity . Find: (i) its velocity after 8 seconds; …
Objective (11)
- NECO 2023 · Paper 1 · Q34A body of mass 3 kg at rest is acted upon by a force of 24 N for 0.5 s. Find the final velocity of the body.
- NECO 2023 · Paper 1 · Q37A body of mass 700 kg moving with a velocity of is made to attain a velocity of in 15.6 s by a force. …
- NECO 2023 · Paper 1 · Q39A horizontal force of 3500 N is capable of moving an abandoned vehicle of mass 750 kg on a rough horizontal road. Find the coefficient of friction …
- NECO 2023 · Paper 1 · Q40A 50 kg bag of rice is placed in a lift which moves with an upward acceleration of . What is the reaction between the floor …
- WAEC 2023 · Paper 1 · Q19A particle began to move at along a straight line with constant retardation of . Calculate the time …
- WAEC 2023 · Paper 1 · Q22The velocity of a body of mass kg increases from to in 16 seconds. …
- WAEC 2023 · Paper 1 · Q27The distance metres moved by a body in seconds is given by . Calculate the acceleration of the body …
- WAEC 2022 · Paper 1 · Q16A particle moving with a velocity of accelerates at . Find the distance it covers in 4 seconds.
- WAEC 2022 · Paper 1 · Q35A particle of mass 3 kg moving along a straight line under the action of a force N covers a distance, , at time, , such that . …
- WAEC 2020 · Paper 1 · Q20A stone was dropped from the top of a building 40 m high. Find, correct to one decimal place, the time it took the stone to reach the ground. …
- WAEC 2020 · Paper 1 · Q35The distance(s) in metres covered by a particle in motion at any time, seconds, is given by . Find, in metres, the distance …