QuestionFind the equation equivalent to average velocity $v = \frac{d_{2}-d_{1}}{t_{2}-t_{1}}$ . Options: A, B, C, D.

Studdy Solution

STEP 1

Assumptions1. The formula for average velocity is given by $v=\frac{d_{}-d_{1}}{t_{}-t_{1}}$ . $d_{1}$ and $d_{}$ represent the distance traveled by the particle at times $t_{1}$ and $t_{}$ respectively3. We need to find an equation equivalent to the formula for velocity

STEP 2

First, we multiply both sides of the equation by $(t_{2}-t_{1})$ to isolate $v$ on one side.
$v(t_{2}-t_{1}) = d_{2}-d_{1}$

STEP 3

Next, we rearrange the equation to isolate $d_{2}$ on one side.
$d_{2} = v(t_{2}-t_{1}) + d_{1}$ This equation is equivalent to the formula for velocity.

STEP 4

Comparing the equation obtained in3 with the options given, we find that it matches with option C.
So, the equation equivalent to the formula for velocity is $d_{2}=v\left(t_{2}-t_{1}\right)+d_{1}$ .

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