$(a)$ 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 ?
$(a)$ In uniform linear motion, a body moves along a straight line with constant speed. While in uniform circular motion, a body moves along a circular path with uniform speed.
$(b)$ $(i)$ Motion of particle on a wheel.
$(ii)$ Motion of satellite around a plant.
$(iii)$ Motion of moon around the earth.
$(iv)$ Motion of any particle on arm of clock.
$(c)$ Yes, in uniform circular motion, the direction of motion of the body changes continuously.
A cyclist driving at $36\, km h^{-1}$ stops his cycle in $2\, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.
An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time
Time $(s)$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
Velocity $\left( m s ^{-1}\right)$ | $2$ | $4$ | $6$ | $8$ | $10$ | $12$ | $14$ |
Plot the graph.
From the graph.
$(i)$ Find the velocity of the object at the end of $2.5 sec$
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate' the distance covered in the last $4$ sec.
The graph given below is the distance$-$time graph of an object.
$(i)$ Find the speed of the object during first four seconds of its journey.
$(ii)$ How long was it stationary ?
$(iii)$ Does it represent a real life situation ? Justify your answer.
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.
Area under a $v -t$ graph represents a physical quantity which has the unit