Question ID - 97058 | SaraNextGen Top Answer
Consider a particle moving along the -axis as shown in Fig. Its distance from the origin is described by the coordinate which varies with time. At a time , the particle is at point , where its coordinate is , and at time it is at point , where its coordinate . The displacement during the time interval from and is the vector from to the component of this vector is and all other component are zero

It is convenient to represent the quantity , the change in , by means of a notation using the Greek letter (capital delta) to designate a change in any quantity. Thus we write in which is not a product but is to be interpreted as a single symbol representing the change in the quantity . Similarly, we denote the time interval from to as

The average velocity of the particle is defined as the ratio of the displacement to the time interval . We represent average velocity by the letter v with a bar to signify average value. Thus

A particle moves half the time of its journey with velocity . The rest of the half time it moves with two velocities and such that half the distance it covers with and the other half with . Find the net average velocity assume straight line motion

a)

b)

c)

d)

Question

Updated On 05-07-2025
By Lithanya Sara

1 Answer

127 votes

By Lithanya Sara · Accepted Answer

Answer Key / Explanation : (a) -

(a)

(i)

From (i) and (ii)

Put the value of and get

CBSE JEE NEET Test Generator | Online Question Paper Creator & Exam Generator

A particle moves half the time of its journey with velocity . The rest of the half time it moves with two velocities and such that half the distance it covers with and the other half with . Find the net average velocity assume straight line motion
a)		b)		c)		d)