During a 5 -second time interval, the average acceleration $a$, in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation $a=\frac{v f- 12}{5}$, where $v f$ is the final velocity of the object in meters per second. If the equation is rewritten in the form $v f=x a+y$, where $x$ and $y$ are constants, what is the value of $x$ ?
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Answer

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Step 1
: Recall that the equation given is $a = \frac{v_f - 12}{5}$.

To rewrite this equation in the form $v_f = xa + y$, we need to isolate $v_f$.

Step 2
: To isolate $v_f$, first multiply both sides of the equation by 5.

This gives us $5a = v_f - 12$.

Final Answer

The value of $x$ is 5.