Answered

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Select the correct answer.

Given the formula [tex]\( v = u + at \)[/tex], solve for [tex]\( t \)[/tex].

A. [tex]\( t = a(v - u) \)[/tex]

B. [tex]\( t = \frac{v - u}{a} \)[/tex]

C. [tex]\( t = a(v + u) \)[/tex]

D. [tex]\( t = \frac{v + u}{a} \)[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( t \)[/tex] from the given formula [tex]\( v = u + a t \)[/tex], we need to isolate [tex]\( t \)[/tex] on one side of the equation. Here are the steps to do that:

1. Start with the given formula:

[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 of the equation by [tex]\( a \)[/tex] to solve for [tex]\( t \)[/tex]:

[tex]\[ t = \frac{v - u}{a} \][/tex]

Therefore, the correct answer is:

[tex]\[ t = \frac{v - u}{a} \][/tex]

So among the given options, the correct one is:

[tex]\[ \boxed{\text{B. } t = \frac{v-u}{a}} \][/tex]
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