A body moving with uniform acceleration has velocities $20 \,m s ^{-1}$ and $30\, m s ^{-1}$. when passing two points $A$ and $B$. Then the velocity midway between $A$ and $B$ is

The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below

Calculate :

$(a)$ the acceleration of car $B$ between $2 \,s$ and $4\, s$.

$(b)$ the time at which both the cars have the same velocity.

$(c)$ the distance travelled by the two cars $A$ and $B$ in $8\, s$

$(d)$ Which of the two cars is ahead after $8\, s$ and by how much ?

An object is moving with uniform speed in a circle of radius $7\, m .$ Calculate the distance and displacement when it completes half the circle. What type does the object possess ?

Draw displacement$-$time graphs for the following situations

$(i)$ When body is stationary.

$(ii)$ When body is moving with uniform velocity.

$(iii)$ When body is moving with variable velocity.

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 ?