Question

Consider the formula for the average velocity, v, of a moving particle. In the formula, d1 and d2 represent the distance traveled by the particle at times t1 and t2 respectively.



Which of the following equations is equivalent to the formula for velocity?

A.

B.

C.

D.

Answer 1

Answer:

Step-by-step explanation:

Let total time =t

Let d1 is the displacement of first half time and d2 is of second half time.

Total displacement(d)= d1+d2

Now v1=d1÷(t/2) => d1= v1.t/2 …..(1)

Similarly, d2= v2.t/2 …..(2)

now avg. velocity(v`) = (d1+d2)/t

put (1) and (2)

v`= (v1.t+v2.t)/2.t

v`= (v1+v2)/2

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Muthusamy Piramanayagam ( முத்துசாமி பிரமநாயகம்)

Muthusamy Piramanayagam ( முத்துசாமி பிரமநாயகம்), M.Sc. Retired as Head of Department of Physics. Government of Tamilnadu, lndia.

Answered Feb 2, 2018

If T is the total time, distance moved in one half the time is v1*T/ 2, and in the other half time is v2*T/2 .

Total distance = (v1+v2)T/2.