Draw velocity-time graphs for the following situations

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

$(ii)$ When body is moving with variable velocity, but uniform acceleration.

$(iii)$ When body is moving with variable velocity, but uniform retardation.

$(iv)$ When body is moving with a variable velocity and variable acceleration.

A train $100 \,m$ long is moving with a velocity of $60\, km h^{-1}$. Find the time it takes to cross the bridge $1\, km$ long.

$(a)$ Write differences between speed and velocity.

$(b)$ The speed of a moving object is $x m s ^{-1}$. Its velocity is $y m s ^{-1}$. What is the similarity observed ?

For the motion on a straight line path with constant acceleration the ratio of the maqnitude of the displacement to the distance covered is

Study the speed$-$time graph of a car below and answer the following questions

$(a)$ What type of motion is represented by $OA$ ?

$(b)$ Find acceleration from $B$ to $C$.

$(c)$ Calculate the distance covered by the body from $A$ to $B$.