Four speed$-$time graphs are shown below
Which graph represents the following case ?
$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?
$(ii)$ A body decelerating to a constant speed and then accelerating.
$(i)$ Graph $(a)$ represents this case. The ball starts with initial velocity; experiences retardation and its velocity decreases to become zero at the highest point. Thereafter the ball falls down and its velocity increases till it again becomes equal to the initial velocity of throw.
$(ii)$ Graph $(d)$ shows the case of a body decelerating to a constant speed and then accelerating.
Write true or false for the following statements
Acceleration is defined as the rate of change of velocity.
If the displacement of an object is proportional to square of time, then the object moves with
Define velocity.
The distance$-$time graph of a body is parallel to time axis. The body is
Account for the following
$(a)$ Name the quantity which is measured by the area occupied below the velocity$-$time graph.
$(b)$ An object is moving in a certain direction with acceleration in the perpendicular directions.
$(c)$ Under what condition is the magnitude of average velocity of an object equal to its average speed ?
$(d)$ An example of uniformly accelerated motion.
$(e)$ A body is moving along a circular path of radius
$(r)$. What will be the distance and displacement of the body when it completes half revolution ?