levo

Space, Time and Motion

The kinematic equations for constant acceleration

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the equations linking velocity, acceleration, time and displacement, the condition for using them, choosing one when time is unknown, vertical motion under gravity, and sign conventions.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the equation linking final velocity, initial velocity, acceleration and time.

Key term

State the equation giving displacement in terms of initial velocity, acceleration and time.

Key term

Which kinematic equation links velocity and displacement without involving time?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation linking final velocity, initial velocity, acceleration and time.

    Model answer

    The equation is v = u + at.

  2. 2

    State the equation giving displacement in terms of initial velocity, acceleration and time.

    Model answer

    The equation is s = ut + ½at².

  3. 3

    Which kinematic equation links velocity and displacement without involving time?

    Model answer

    The equation is v² = u² + 2as.

  4. 4

    From which two defining relationships are the kinematic equations derived?

    Model answer

    They follow from a = (v − u)/t and from average velocity = (u + v)/2.

  5. 5

    What condition must be satisfied before the kinematic equations may be used?

    Model answer

    The acceleration must be constant throughout the interval being considered.

  6. 6

    A car accelerates from rest at 2.0 m s⁻² for 5.0 s. What is its final velocity?

    Model answer

    The final velocity is v = u + at = 0 + 2.0 × 5.0 = 10 m s⁻¹.

Other ways to work this

The same content, four other ways.

What is inside Levo

Six ways to work the same material.

1Closed book
2Open book
3Closed book

The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

Planning
Implementing
Analysis
Evaluation

Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

The two charges .
attractrepelcombine

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AThe neutron has lepton number 0.
BOn the other side the proton has 0.
CThe electron has +1 and the antineutrino has −1.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

There are 2π rad in a full circle.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

721941163128510

Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Space, Time and Motion, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

Or £46 a year, about £3.83 a month. Cancel anytime.