$A$ bus starting from rest moves with a uniform acceleration of $0.1\, m s^{-2}$ for $2\, min$. Find $(a)$ the speed acquired,$(b)$ the distance travelled.

$A$ bus decreases its speed from $80 \, km \, h^{-1}$ to $60 \, km \, h^{-1}$ in $5 \, s$. Find the acceleration (in $m / s^2$) of the bus.

$A$ racing car has a uniform acceleration of $4 \,m s^{-2}$. What distance (in $m$) will it cover in $10 \,s$ after start?

Joseph jogs from one end $A$ to the other end $B$ of a straight $300 \, m$ road in $2 \, min$ $30 \, sec$ and then turns around and jogs $100 \, m$ back to point $C$ in another $1 \, min$. What are Joseph's average speeds and velocities in jogging from $A$ to $B$?

The speed-time graph for a car is shown in the figure.
$(a)$ Find how far the car travels in the first $4 \, s$. Shade the area on the graph that represents the distance travelled by the car during this period.
$(b)$ Which part of the graph represents the uniform motion of the car?

State which of the following situations are possible and give an example for each of these:
$(a)$ An object with a constant acceleration but with zero velocity.
$(b)$ An object moving with an acceleration but with uniform speed.
$(c)$ An object moving in a certain direction with an acceleration in the perpendicular direction.