First slide

Rectilinear Motion

Question

The velocity of an object moving rectilinearly is given as a function of time by v = 4t - 3t², where v is in m/s and t is in seconds. The average velocity of particle between t = 0 to t = 2 seconds is

Moderate

A

0
B

-2m/s
C

-4m/s
D

+2m/s

Solution

Average velocity $= \frac{S}{t} = \frac{\int vdt}{t}$
$= \frac{\int_{0}^{2} (4 t - 3 t^{2}) dt}{2} = 0$

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