SQA Advanced Higher Mathematics of Mechanics Linear and Parabolic Motion overview quiz quiz

$\dfrac{d^2s}{dt^2}$

$\dfrac{ds}{dt}$

$\int s\,dt$

$\int\int s\,dt$

$v = u + at$

$v^2 = u^2 + 2as$

$s = ut + \tfrac{1}{2}at^2$

$s = \tfrac{1}{2}(u + v)t$

Acceleration

Speed

Displacement

Force

$t = 2$ s

$t = 6$ s

$t = 12$ s

$t = 3$ s

$\int |v|\,dt$, splitting where $v = 0$

$\int v\,dt$ over the whole interval

the final displacement only

the maximum speed times the time

$\mathbf{v}_A - \mathbf{v}_B$

$\mathbf{v}_B - \mathbf{v}_A$

$\mathbf{v}_A + \mathbf{v}_B$

$\tfrac{1}{2}(\mathbf{v}_A + \mathbf{v}_B)$

set the relative velocity to zero

set both positions equal

minimise the squared relative distance

maximise the relative speed

has one component zero

is constant

has constant magnitude

is exactly zero at some time

$V\cos\theta$

$V\sin\theta$

$V\tan\theta$

$\tfrac{1}{2}V$

the speed is zero

the vertical velocity is zero

the horizontal velocity is zero

the acceleration is zero

$30^\circ$

$60^\circ$

$45^\circ$

$90^\circ$

$\mathbf{F} = m\mathbf{v}$

$\mathbf{F} = \tfrac{1}{2}m\mathbf{a}$

$\mathbf{F} = \dfrac{m}{a}$

$\mathbf{F} = m\mathbf{a}$

$\mu R$

$\mu mg$ always

$R - \mu$

$\dfrac{R}{\mu}$

$mg\cos\theta$

$mg\sin\theta$

$mg\tan\theta$

$mg$

different magnitudes

the same magnitude and direction

the same magnitude, opposite directions

zero magnitude