The options are:
(A)[tex]t=\dfrac{f-v}{a}[/tex]
(B)[tex]t=\dfrac{f-a}{v}[/tex]
(C)t= a(f -v)
(D) t= v(f-a)
Answer:
(A)[tex]t=\dfrac{f-v}{a}[/tex]
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
[tex]\dfrac{at}{a} =\dfrac{f-v}{a}\\\\t=\dfrac{f-v}{a}[/tex]
The correct option is A.
