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.

Under what condition will the magnitude of the displacement be equal to the distance travelled by an object ?

Prove that if a body is thrown vertically upward, the time of ascent is equal to the time of descent.

Answer the following questions

$(i)$ State the type of motion shown by a freely falling stone.

$(ii)$ When a stone is thrown vertically upwards its velocity is continuously decreased. Why ?

$(iii)$ Give an example of a motion in which average velocity is zero, but the average speed is not zero.

Area under velocity$-$time graph is equal to the

$(a)$ 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 ?