A car acquires a velocity of 72 km per hour in 10 seconds starting from rest. Find the average velocity.

Here initial velocity $u=0$

Final velocity $v=72\ km/h=72\times\frac{5}{18}\ m/s=20\ m/s$

Time taken $t=10\ sec.$

Let $a$ be the acceleration.

On using the equation, $v=u+at$

Or $20=0+a\times 10$

Or $10a=20$

Or $a=\frac{20}{10}$

Or $a=2\ m/s^2$

Let $s$ be the displacement.

On using the equation $s=ut+\frac{1}{2}at^2$

$s=0\times 10+\frac{1}{2}\times2\times10^2$

Or $s=0+100$

Or $s=100\ m/s$

Average velocity $=\frac{Total\ displacement}{total\ time}$

$=\frac{100}{10}$

$=10\ m/s$

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Updated on: 10-Oct-2022

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