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

Answer:

Option C.

Step-by-step 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  

$v=\dfrac{d_2-d_1}{t_2-t_1}$

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.