Dynamics S1 slide 12: Rocket altitude to velocity and acceleration (ENGR5004)

Dynamics S1 slide 12: Rocket altitude to velocity and accelerationFrom lectureCurrent specThird2 marks3 min

ENGR5004 Dynamics Session 1, slide 12 (Applications of a particle in rectilinear motion (1))

The motion of large objects such as rockets, aeroplanes or cars can often be analysed as if they were particles. A rocket rises vertically and its altitude is measured as a function of time, $s(t)$ .

How can we determine its velocity and acceleration, $v(t)$ and $a(t)$ ?

Formulas you may need

$v = \dfrac{ds}{dt} = \dot s$ , $a = \dfrac{dv}{dt} = \dfrac{d^2s}{dt^2} = \ddot s$ (learn this)
Average velocity $\Delta s/\Delta t$ , average acceleration $\Delta v/\Delta t$ (learn this)