Question

A particle moving in a straight line covers half of a distance with Speed 3 metre per second the other half of a distance is covered in 2 equal time intervals at speed of 4.5 M second and 7.5 seconds respectively the average speed of particle during this
motion

Answer 1

Step - by - Step Explanation :

• Speed = distance / time

• By using this formula you can get answer quickly .

• we simply added the distance and time and distance per unit time is called ' Average speed ' .

Answer 2

Answer:

The average speed of particle during this  motion is 4 m/s.

Explanation:

Given that,

First half of a distance is covered with speed = 3 m/s

The other half of a distance is covered in 2 equal time intervals at speed of 4.5 M second and 7.5 seconds respectively

Let the total distance covered be 2 x.

Let t be the time taken the first half of the distance.

$t = \dfrac{x}{3}$

Let the other half of a distance be covered in two equal intervals of time.

$x=4.5t'+7.5t'$

$x=12t'$

$t'=\dfrac{x}{12}$

The total time is

$t''=t+2t'$

$t''=\dfrac{x}{3}+2\times\dfrac{x}{12}$

$t''=\dfrac{x}{3}+\dfrac{x}{6}$

The average speed is equal to the total distance divided by the total time.

$v_{avg}=\dfrac{2x}{\dfrac{x}{3}+\dfrac{x}{6}}$

$v_{avg}=4 m/s$

Hence, The average speed of particle during this  motion is 4 m/s.