Question

select the correct answer. consider the formula for the average velocity, v, of a moving particle. in the formula, $d_1$ and $d_2$ represent the distance traveled by the $t_1$ and $t_2$ respectively. $v=\frac{d_2 - d_1}{t_2 - t_1}$ which of the following equations is equivalent to the formula for velocity? a. $d_2=v(t_2 - t_1)+d_1$ b. $t_1=v(d_2 - d_1)-t_2$ c. $d_1=v(t_2 - t_1)-d_2$ d. $t_2=v(d_2 - d_1)+t_1$

Explanation:

Step1: Start with given formula

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

Step2: Cross - multiply

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

Step3: Isolate $d_2$

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

Answer:

A. $d_2 = v(t_2 - t_1)+d_1$