Question

question 2 of 5 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 = \frac{d_2 - d_1}{t_2 - t_1} which of the following equations is equivalent to the formula for velocity? a. d2 = v(t2 - t1) + d1 b. t2 = v(d2 - d1) + t1 c. t1 = v(d2 - d1) - t2 d. d1 = v(t2 - t1) - d2

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