Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds.
$\left(u+5 a\right)\, m$
$\left(u+\frac{3}{2} a\right)\, m$
$\left(u+\frac{9}{2} a\right)\, m$
$\left(u+4a\right)\, m$
Slope of a velocity -time graph gives
$(a)$ 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 ?
The following graph describes the motion of a girl going to meet her friend who stays $50\, m$ from her house
$(i)$ How much time she takes to reach her friend's house ?
$(ii)$ What is the distance travelled by the girl during the time$-$interval $0$ to $12$ minute ?
$(iii)$ During which time-interval she is moving towards her house ?
$(iv)$ For how many minutes she was at rest, during the entire journey ?
$(v)$ Calculate the speed by which she returned home.
A frog hops along a straight line path from point $'A^{\prime}$ to point ${ }^{\prime} B ^{\prime}$ in $10\, s$ and then turns and hops to point ${ }^{\prime} C^{\prime}$ in another $5\, s$. Calculate the average speed and average velocity of the frog for the motion between $(a)(A)$ to $(B)(b)(A)$ to $(C)($ through $B)$
$(a)$ Differentiate between uniform linear and uniform circular motion.
$(b)$ Write any four examples of uniform circular motion.
$(c)$ Is uniform circular motion is accelerated motion ?