A body of mass m moving along a straight line covers half the distance with a speed of 2ms-1- The remaining half of the distance is covered in two equal time intervals with a speed of 3ms-1 and 5ms-1 respectively-The average speed of the particle the entire journey is

Question

Toppr Admin · Accepted Answer

Let the total distance travelled by the body is $2 s$ .If $t_{1}$ is the time taken by the body to travel first half of the distance ,then
$t_{1} = \frac{S}{2}$
Let $t_{2}$ be the time taken by the body for each time interval for the remaining hal journey.
$S = 3 t_{2} + 5 t_{2} = 8 t_{2}$
So, average speed = $\frac{t o t a l d i s t a n c e t r a v e l l e d}{t o t a l t i m e t a k e n}$
$= \frac{2 S}{t_{1} + 2 t_{2}}$
$= \frac{2 S}{\frac{S}{2} + \frac{S}{4}}$
$= \frac{8}{3} m s^{- 1}$

A body of mass m moving along a straight line covers half the distance with a speed of 2ms−1. The remaining half of the distance is covered in two equal time intervals with a speed of 3ms−1 and 5ms−1 respectively.The average speed of the particle for the entire journey is

A body of mass $m$ moving along a straight line covers half the distance with a speed of $2 m s^{- 1} .$ The remaining half of the distance is covered in two equal time intervals with a speed of $3 m s^{- 1}$ and $5 m s^{- 1}$ respectively.The average speed of the particle for the entire journey is