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.
The graphs are as shown
$(i)$ For uniform velocity but uniform acceleration
$(ii)$ For variable velocity and uniform acceleration
$(iii)$ For variable velocity
$(iv)$ For 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 ?