Question

Which is an equivalent equation solved for t?

The equation f = V + at represents the final velocity of an

object, f, with an initial velocity, V, and an acceleration rate,

a, over time, t.

Ot=fov

Ot=f-2

O t= a(f -v)

O t= v(f-a)

Answer 1

The options are:

(A)
`t=(f-v)/(a)`

(B)
`t=(f-a)/(v)`

(C)t= a(f -v)

(D) t= v(f-a)

Answer:

(A)
`t=(f-v)/(a)`

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

`(at)/(a) =(f-v)/(a)\\\\t=(f-v)/(a)`

The correct option is A.