Velocity$-$time graph for the motion of an object in a straight path is a straight line parallel to the time axis.
$(a)$ Identify the nature of motion of the body.
$(b)$ Find the acceleration of the body.
$(c)$ Draw the shape of distance-time graph for this type of motion.
$(a)$ If the speed $-$ time graph is a straight line parallel to the time axis, the object moves with a constant speed and the motion is uniform.
$(b)$ Since velocity is constant, therefore, acceleration is zero.
$(c)$ The distance-time graph is as shown
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.
$(i)$ What can be depicted from the graph regarding the motion of the object ?
$(ii)$ Find the value of acceleration from the graph.
An artificial satellite is moving in a circular orbit of radius nearly $42.250 \,km .$ Calculate its linear velocity, if it takes $24$ hour to revolve round the earth.
A body is moving along a circular path of radius $R$. Find the displacement of the body when it completes half a revolution.
Distance$-$time graph below represents the motion of two buses $A$ and $B$
$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?
$(ii)$ Do they ever meet each other ? If so, when ?
$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?
$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$
$(v)$ Which one of them is moving faster ? Give reason.