A cheetah can accelerate from rest at rate of 4 m s^{-2} (i) What will be velocity attained by it in

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7. MOTION

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A cheetah can accelerate from rest at the rate of $4 m s^{-2}$

$(i)$ What will be the velocity attained by it in $10\, s$ ?

$(ii)$ How far will it travel in this duration ?

Option A

Option B

Option C

Option D

Solution

Intial velocity, $u=0$

Acceleration, $a=4 m s ^{-2}$

$(i)$ From the first equation of motion,

$v=u+a t$

$=0+4 \times 10$

$=40 m s ^{-1}$

$(ii)$ From the second equation of motion,

$S=u t+\frac{1}{2} a t^{2}$

$=0 \times 10+\frac{1}{2} \times 4 \times(10)^{2}$

$=200 m$

Standard 9

Science

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