Question

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?

Answer 1

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${v}^{2} - {v(0)}^{2} = 2.a.∆x$

$v = final \: \: velocity$

$v(0) = the \: \: velocity \: \: in \: \: the \: \: rest \: \: which \: \: is \: \: zero$

$a = acceleration$

$∆x = covered \: \: distance$

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${v}^{2} - ({0})^{2} = 2 \times 26 \times 402$

$v = \sqrt{2 \times 26 \times 402}$

$v = \sqrt{20904}$

$v = 144.58 \: \: \frac{m}{s}$

Done...

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