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Q. An object moves in a straight line along $x$-axis, its distance from the origin is given by $x = 10t^2\, m$. The average velocity in the time interval from $t_1 = 2\, s$ to $t_2 = 3 \,s$ is

UP CPMTUP CPMT 2013Motion in a Straight Line

Solution:

$x=10 t^{2}$
average velocity $=\frac{x(t 2)-x(t 1)}{t 2-t 1}$
av.vel. $=\frac{90-40}{3-2}$
$=50 \,m\,sec ^{-1}$