A motor bike running at 5, m s ^{-1} , picks up a velocity of 30, m s ^{-1} in 5, s . Calculate (i)

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7. MOTION

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A motor bike running at $5\, m s ^{-1}$, picks up a velocity of $30\, m s ^{-1}$ in $5\, s$. Calculate $(i)$ acceleration $(ii)$ distance covered during acceleration.

Option A

Option B

Option C

Option D

Solution

$u=5 m s ^{-1} ; v=30 m s ^{-1} ; t=5 s ; a=? ; S =?$

$(i)$ Applying $v=u+a t$

$30=5+a \times 5$

$5 a=25$ or $a=5 m s ^{-2}$

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

$(30)^{2}-(5)^{2}=2 \times 5 \times S$

Or $875=10 \times S$

Or $S=87.5 m$

Standard 9

Science

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