Solve for \( t \):
\[ a = \frac{vf - vi}{t} \]
Solve for \( vi \):
\[ a = \frac{vf - vi}{t} \]
Solve for \( vf \):
\[ a = \frac{vf - vi}{t} \]
Answer (3)
A = (vf - vi) / t , this is equation for **acceleration **of the body, in which A is acceleration, vf is final **velocity **and vi is initial velocity and t is timetaken by that body.
Multiply both side of the given **equation **by 't' :
A t = (vf - vi)
Divide each side by 'A' :
t = (vf - vi) / A
this is the equation for t
Multiply both side of the given equation by 't'
A t = (vf - vi)
Subtract ' vf ' from each side:
A t - vf = -vi
**transfer **RHS to right side and LHS to left side.
we get
vf - A t = vi
This is the equation in terms of initial **velocity **vi
For vf :
Multiply each side of the given equation by 't'
A t = (vf - vi)
Add ' vi ' to each side
A t + vi = vf
This is the equation in terms of **final velocity **vf
To know more about **velocity **:
https://brainly.com/question/18084516
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***A = (vf - vi) / t *** <== call this the "given equation"
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For t :
Multiply each side of the given equation by 't' : A t = (vf - vi)
Divide each side by 'A' : *** t = (vf - vi) / A***
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For vi :
Multiply each side of the given equation by 't' : A t = (vf - vi)
Subtract ' vf ' from each side: A t - vf = -vi
Multiply each side by -1 : *** vf - A t = vi***
For vf :
Multiply each side of the given equation by 't' : A t = (vf - vi)
Add ' vi ' to each side: *** A t + vi = vf***
To solve for t , v i , and v f in the equation a = t v f − v i , rearrangements lead to: t = a v f − v i , v i = v f − a t , and v f = a t + v i . This allows you to isolate each variable based on known values. Understanding these formulas helps in solving motion problems in physics.
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