Question

The equation f = v + 80 represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, overtime, t.

Which is an equivalent equation solved for t?
.
.
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A) t = f - v/a
B) t = f - a/v
C) a(f - v)
D) v(f - a)​

Answer 1

A) t = (f -v)/a

Explanation:

Undo the operations done to t, in reverse order. Here, t is multiplied by "a" then the product is added to v.

To solve for t, first you undo the addition of v by subtracting v from both sides of the equation.

f = v + at

f - v = at . . . . . subtract v

Then you undo the multiplication by "a" by dividing both sides of the equation by "a":

(f - v)/a = t . . . . . . sort of matches choice A

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Please note that the parentheses are required. f -v/a is something quite different. If this is typeset, the fraction bar does the grouping. If it is written in plain text, parentheses are required for grouping.

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