the equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an…
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. which is an equivalent equation solved for t? \\(\\bigcirc\\ t = \\frac{f - v}{a}\\) \\(\\bigcirc\\ t = \\frac{f - a}{v}\\) \\(\\bigcirc\\ t = a(f - v)\\) \\(\\bigcirc\\ t = v(f - a)\\)
Answer
Explanation:
Step1: Start with the original equation
We have the equation ( f = v + at ). Our goal is to solve for ( t ).
Step2: Isolate the term with ( t )
Subtract ( v ) from both sides of the equation. This gives us ( f - v = at ). The reasoning here is that we want to get the term containing ( t ) (which is ( at )) by itself on one side of the equation. So, subtracting ( v ) from both sides (a valid algebraic operation, subtraction property of equality) gives ( f - v=at ).
Step3: Solve for ( t )
Now, divide both sides of the equation ( f - v = at ) by ( a ) (assuming ( a\neq0 )). When we divide both sides by ( a ), we get ( t=\frac{f - v}{a} ). This is because dividing both sides of an equation by the same non - zero number (here ( a )) keeps the equation balanced (division property of equality).