Answer:
The given equation for t is [tex]t=\frac{f-v}{a}[/tex]
Step-by-step explanation:
Given : The equation [tex]f = v + at[/tex] represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.
We have to solve the given equation for t.
Consider the given equation [tex]f = v + at[/tex]
Subtract v both side, we have,
[tex]f-v=v-v+at[/tex]
Simplify, we have,
[tex]f-v=at[/tex]
Dividing both side by a, we get,
[tex]\frac{f-v}{a}=\frac{at}{a}[/tex]
Simplify, we have,
[tex]\frac{f-v}{a}=t[/tex]
Thus, The given equation for t is [tex]t=\frac{f-v}{a}[/tex]
