Question

Which is an equivalent equation solved for t?

Answer 1

The options are:

(A)$t=\dfrac{f-v}{a}$

(B)$t=\dfrac{f-a}{v}$

(C)t= a(f -v)

(D) t= v(f-a)

Answer:

(A)$t=\dfrac{f-v}{a}$

Step-by-step explanation:

Given the equation f=V+at which represents the final velocity of an object(f) with an initial velocity, V and an acceleration rate,  a, over time, t.

We are required to solve for an equivalent equation with t as the subject.

In f=V+at

To make t the subject

Step 1: Subtract v from both sides

f-v=v-v+at

at =f-v

Step 2: Divide both sides by a

$\dfrac{at}{a} =\dfrac{f-v}{a}\\\\t=\dfrac{f-v}{a}$

The correct option is A.