State which of the following situations are possible and give an example of each of these:

(a) A body having acceleration but zero velocity.

(b) A body moving horizontally with an acceleration in a vertical direction.

(c) A body moving with a constant velocity in an accelerated motion.

A body moves with a velocity of $2 {\mathrm{ms}}^{-1}$ for $5 \mathrm{s}$. Then its velocity increases uniformly to $10 {\mathrm{ms}}^{-1}$ in next $5 \mathrm{s}$. Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $10 \mathrm{s}$. Plot a velocity-time graph.

A body moves with a velocity of $2 {\mathrm{ms}}^{-1}$ for $5 \mathrm{s}$. Then its velocity increases uniformly to $10 {\mathrm{ms}}^{-1}$ in next $5 \mathrm{s}$. Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $10 \mathrm{s}$. Mark the portions of the graph to show when the motion of the body is uniform and when it is non-uniform on the velocity-time graph.

A body moves with a velocity of $2 {\mathrm{ms}}^{-1}$ for $5 \mathrm{s}$. Then its velocity increases uniformly to $10 {\mathrm{ms}}^{-1}$ in next $5 \mathrm{s}$. Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $10 \mathrm{s}$. From the velocity-time graph, find the total distance moved by the body in initial $5 \mathrm{s}$ and initial $12 \mathrm{s}$ and in the last $10 \mathrm{s}$.

Discuss the graphs $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ shown in the figure. Compare the total distance travelled and the displacements. Which portion of graph represents a motion in which displacement is zero?

A sprinter in a $100 \mathrm{m}$ race covers $4 \mathrm{m}$ in first second, $30 \mathrm{m}$ in next $4 \mathrm{s}$, $52 \mathrm{m}$ in another $4 \mathrm{s}$ and finishes the race in $10 \mathrm{s}$.

Calculate the average velocity of the sprinter. You may assume that during any given time interval the velocity is uniform.

A sprinter in a $100 \mathrm{m}$ race covers $4 \mathrm{m}$ in first second, $30 \mathrm{m}$ in next $4 \mathrm{s}$, $52 \mathrm{m}$ in another $4 \mathrm{s}$ and finishes the race in $10 \mathrm{s}$.

In which time interval, is the average velocity attained by the sprinter maximum? State this velocity in appropriate units.

A sprinter in a $100 \mathrm{m}$ race covers $4 \mathrm{m}$ in first second, $30 \mathrm{m}$ in next $4 \mathrm{s}$, $52 \mathrm{m}$ in another $4 \mathrm{s}$ and finishes the race in $10 \mathrm{s}$. Plot the distance-time graph for the motion of the sprinter. You may assume that during any given time interval the velocity is uniform. Find out the distance moved by the sprinter at the end of $6 \mathrm{s}$ with the help of the graph.

A body moves with a velocity of $2 \mathrm{m}/\mathrm{s}$ for $5 \mathrm{s}$, then its velocity uniformly increases to $10 \mathrm{m}/\mathrm{s}$ for the next $5 \mathrm{s}$. Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $10 \mathrm{s}$.

(a) Plot a $\mathrm{v}-\mathrm{t}$ graph and $\mathrm{d}-\mathrm{t}$ graph for the motion of the body.

(b) Mark the portions of the graph when the motion is uniform and when it is non-uniform.

(c) From the graph find the total distance moved by the body in

1. first $2 \mathrm{s}$
2. first $12 \mathrm{s}$ and 
3. in the last $10 \mathrm{s}$