A cyclist driving at 5, m s ^{-1} picks a velocity of 10, m s ^{-1} over a distance of 50, m . Calcu

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7. MOTION

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A cyclist driving at $5\, m s ^{-1}$ picks a velocity of $10\, m s ^{-1}$ over a distance of $50\, m$. Calculate $(i)$ acceleration $(ii)$ time in which the cyclist picks up the above velocity.

Option A

Option B

Option C

Option D

Solution

Given $u=5 m s ^{-1}, v=10 m s ^{-1}, S =50 m , a=?$

$t=?$

Applying $v^{2}-u^{2}=2 a S$

$(10)^{2}-(5)^{2}=2 \times a \times 50$

$75=100 a$

$a=0.75 m s ^{-2}$

$v=u+a t$

$10=5+0.75 \times t$

Therefore, $t=\frac{5}{0.75}=6.67 s$

Standard 9

Science

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