#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
#18.2
Know the difference between position, displacement, distance and distance travelled.
#18.3
Know the difference between velocity and speed, and between acceleration and magnitude of acceleration.
#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:
\(v = \dfrac{dr}{dt}\), \(a = \dfrac{dv}{dt} = \dfrac{d^2r}{dt^2}\)
#18.6
Be able to integrate acceleration and velocity with respect to time and know what measures result.
Notation:
\(r = \displaystyle\int{v}~dt\), \(v = \displaystyle\int{a}~dt\)
#18.7
Be able to recognise when the use of constant acceleration formulae is appropriate.
Learners should be able to derive the formulae.
Notation:
\(s = \frac{1}{2}(u+v)t\)
\(s = vt - \frac{1}{2}at^2\)
\(v = u + at\)
\(s = ut + \frac{1}{2}at^2\)
\(v^2 = u^2 + 2as\)
#18.8
Be able to solve kinematics problems using constant acceleration formulae and calculus for motion in a straight line.