Dynamics Session 1 Example 2 (ENGR5004) - Revisica

Dynamics Session 1 Example 2TutorialCurrent spec2:210 min

ENGR5004 Dynamics Session 1 worked example 2 (slides 21-22) official answers

After landing, an airplane deploys its drag parachute and travels along a straight runway with an acceleration

$a = -0.004\,v^2\ \text{m/s}^2$

where $v$ is its speed in m/s.

Formulas you may need

$a = \dfrac{dv}{dt}$ , so for $a = a(v)$ : $\displaystyle\int_{v_0}^{v}\frac{dv}{a(v)} = \int_{t_0}^{t} dt$ (learn this)
$a\,ds = v\,dv$ , so for $a = a(v)$ : $\displaystyle\int_{v_0}^{v}\frac{v\,dv}{a(v)} = \int_{s_0}^{s} ds$ (learn this)

(a)
Determine the time required for the velocity to decrease from 80 m/s to 10 m/s.
t =s
(b)
What distance does the plane cover during that time?
s =m

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