Question

Consider the formula for the average velocity, v, of a moving particle. In the formula, d, and dy represent the distance traveled by the particle at

times tq and tą respectively.
d2 - di
Which of the following equations is equivalent to the formula for velocity?
A ti = v(da - dj) - ta
B. di = u(t2 - tı) - d2
oc. d2 = v(t2- t) + di
D. t2 = u(d2 - 01) + ti

Answer 1

Option C.

Explanation:

Note: The question and options are not in correct form.

Let the correct question is "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.

v = (d2 - d1)/(t2 - t1)

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

A. t1=v(d2-d1)-t2

B. d1=v (t2-t1)-d2

C. d2=v(t2-t1)+d1

D. t2=v(d2-d1)+t1 "

The given formula is

`v=(d_2-d_1)/(t_2-t_1)`

On cross multiplication, we get

`v(t_2-t_1)=d_2-d_1`

Add
`d_1` on both sides.

`v(t_2-t_1)+d_1=d_2-d_1+d_1`

`v(t_2-t_1)+d_1=d_2`

Since,
`d_2=v(t_2-t_1)+d_1`, therefore, the correct option is C.