The time it takes for a dragster to cross the finish line is unknown. The dragster accelerates from rest at 26 m/s2 for a quarter-mile (402 m). What is the final velocity of the dragster?

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[tex] {v}^{2} - {v(0)}^{2} = 2.a.∆x[/tex]

[tex]v = final \: \: velocity[/tex]

[tex]v(0) = the \: \: velocity \: \: in \: \: the \: \: rest \: \: which \: \: is \: \: zero \\ [/tex]

[tex]a = acceleration[/tex]

[tex]∆x = covered \: \: distance[/tex]

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[tex] {v}^{2} - ({0})^{2} = 2 \times 26 \times 402 [/tex]

[tex] v = \sqrt{2 \times 26 \times 402} [/tex]

[tex]v = \sqrt{20904} [/tex]

[tex]v = 144.58 \: \: \frac{m}{s} [/tex]

Done...

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