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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]u[/tex] is the initial velocity, [tex]a[/tex] is the acceleration, and [tex]t[/tex] is the time.

Solve this equation for [tex]a[/tex].

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

Sagot :

GinnyAnsweridn
Given the formula for the final velocity of an object:

[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.

We need to solve this equation for the acceleration [tex]\( a \)[/tex].

1. Start with the original equation:

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

2. To isolate [tex]\( a \)[/tex], first subtract [tex]\( u \)[/tex] from both sides of the equation:

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

3. Now, to solve for [tex]\( a \)[/tex], divide both sides of the equation by [tex]\( t \)[/tex]:

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

Therefore, the solution for [tex]\( a \)[/tex] is:

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

So, the correct choice from the given options is:

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