Dynamics S1 slide 13: Sports car as a particle (ENGR5004) - Revisica

Dynamics S1 slide 13: Sports car as a particleFrom lectureCurrent specThird4 marks4 min

ENGR5004 Dynamics Session 1, slide 13 (Applications of a particle in rectilinear motion (2))

A sports car travels along a straight road.

Formulas you may need

Constant acceleration $a_c$ : $v = v_0 + a_c(t - t_0)$ (learn this)
$s = s_0 + v_0(t - t_0) + \tfrac12 a_c(t - t_0)^2$ (learn this)
$v^2 = v_0^2 + 2a_c(s - s_0)$ (learn this)

(a)
Can we treat the car as a particle? Justify your answer.
[2]
(b)
If the car accelerates at a constant rate, how can we determine its position and velocity at some instant, $s(t)$ and $v(t)$ ?
[2]

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