First slide

Average Velocity

Question

A particle starts moving from origin along x-axis. Its displacement (x) after time t is given by x = t2 m. Then the magnitude of average velocity of the particle in the interval t = 0 to t = 4 sec is

Moderate

A
4 m/s
B
6 m/s
C
8 m/s
D
16 m/s

Solution

$A t a n y t i m e t, v = \frac{d x}{d t} = 2 t . T h e r e f o r e, v_{a v g} = \frac{\int_{0}^{4} 2 t d t}{\int_{0}^{4} d t} = 4 m / s$

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