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The final velocity of an object moving in one dimension is given by the formula:

[tex]\[ v = u + at \][/tex]

where:
- [tex]\( v \)[/tex] is the final velocity,
- [tex]\( u \)[/tex] is the initial velocity,
- [tex]\( a \)[/tex] is the acceleration,
- [tex]\( t \)[/tex] is the time.

Solve this equation for [tex]\( t \)[/tex].

To solve for [tex]\( t \)[/tex], first [tex]\(\square\)[/tex] both sides of the equation.

Sagot :

GinnyAnswer
To solve the equation for [tex]\( t \)[/tex] in the formula [tex]\( v = u + a t \)[/tex], we need to isolate [tex]\( t \)[/tex]. Here is a step-by-step solution:

1. Start with the given equation:
[tex]\[ v = u + a t \][/tex]

2. Subtract [tex]\( u \)[/tex] from both sides to begin isolating [tex]\( t \)[/tex]:
[tex]\[ v - u = a t \][/tex]

3. Divide both sides by [tex]\( a \)[/tex] to solve for [tex]\( t \)[/tex]:
[tex]\[ t = \frac{v - u}{a} \][/tex]

Thus, the time [tex]\( t \)[/tex] can be expressed in terms of the initial velocity [tex]\( u \)[/tex], the final velocity [tex]\( v \)[/tex], and the acceleration [tex]\( a \)[/tex] as:
[tex]\[ t = \frac{v - u}{a} \][/tex]
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