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 ?
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 ?
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,
$S=u t+\frac{1}{2} a t^{2}$
$=0 \times 10+\frac{1}{2} \times 4 \times(10)^{2}$
$=200 m$
Similar Questions
A circular cycle track has a circumference of $314\, m$ with $A B$ as one of its diameter. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7\, m s ^{-1}$. Find the
$(a)$ distance moved by the cyclist.
$(b)$ displacement of the cyclist, if $A B$ represents north$-$south direction.
$(c)$ the average velocity of the cyclist.
A circular cycle track has a circumference of $314\, m$ with $A B$ as one of its diameter. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7\, m s ^{-1}$. Find the
$(a)$ distance moved by the cyclist.
$(b)$ displacement of the cyclist, if $A B$ represents north$-$south direction.
$(c)$ the average velocity of the cyclist.
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
Write true or false for the following statements
A body is said to be at rest, if it does not change its position with respect to the reference point.
Write true or false for the following statements
A body is said to be at rest, if it does not change its position with respect to the reference point.
In your everyday life, you come across a range of motions in which
$(a)$ acceleration is in the direction of motion.
$(b)$ acceleration is against the direction of motion.
$(c)$ acceleration is uniform.
$(d)$ acceleration is non$-$uniform.
Can you identify one example each of the above type of motion ?
In your everyday life, you come across a range of motions in which
$(a)$ acceleration is in the direction of motion.
$(b)$ acceleration is against the direction of motion.
$(c)$ acceleration is uniform.
$(d)$ acceleration is non$-$uniform.
Can you identify one example each of the above type of motion ?
$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.
$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.
$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.
$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.