A-Level Maths Specification

OCR B (MEI) H640

Section 18: Kinematics in 1 dimension

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#18.1

Understand and use the language of kinematics.

Position, displacement, distance travelled; speed, velocity; acceleration, magnitude of acceleration; relative velocity (in 1-dimension).
Average speed \(=\) distance travelled \(÷\) elapsed time
Average velocity \(=\) overall displacement \(÷\) elapsed time

Terms and definitions

#18.2

Know the difference between position, displacement, distance and distance travelled.

Terms and definitions

#18.3

Know the difference between velocity and speed, and between acceleration and magnitude of acceleration.

Terms and definitions

#18.4

Be able to draw and interpret kinematics graphs for motion in a straight line, knowing the significance (where appropriate) of their gradients and the areas underneath them.

Position-time, displacement-time, distance-time, velocity-time, speed-time, acceleration-time.

Interpret graphs in kinematics for motion in a straight line

#18.5

Be able to differentiate position and velocity with respect to time and know what measures result.

Notation:
\(v = \dfrac{dr}{dt}\), \(a = \dfrac{dv}{dt} = \dfrac{d^2r}{dt^2}\)

Use calculus in kinematics for motion in a straight line

#18.6

Be able to integrate acceleration and velocity with respect to time and know what measures result.

Notation:
\(r = \displaystyle\int{v}~dt\), \(v = \displaystyle\int{a}~dt\)

Use calculus in kinematics for motion in a straight line

#18.7

Be able to recognise when the use of constant acceleration formulae is appropriate.

Learners should be able to derive the formulae.

Notation:
\(s = \frac{1}{2}(u+v)t\)

\(s = vt - \frac{1}{2}at^2\)

\(v = u + at\)

\(s = ut + \frac{1}{2}at^2\)

\(v^2 = u^2 + 2as\)

Acceleration in a straight line

#18.8

Be able to solve kinematics problems using constant acceleration formulae and calculus for motion in a straight line.

Acceleration in a straight line