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 ?

The speed$-$time graph of a body is a straiaht line parallel to time axis. The body has

Write true or false for the following statements

Acceleration is defined as the rate of change of velocity.

The position$-$time graph for the motion of a car is given below

$(i)$ How far the car tavelled in the time interval $2$ to $6 s ?$

$(ii)$ During which interval of time its speed was more?

$(iii)$ Calculate the average speed of the car.

All buses and cars these days are fitted with a speedometer, which shows the velocity of the vehicle. A device called odometer records the distance moved by the vehicle. If the reading on the odometer of a vehicle in the beginning of a trip and after $40$ minutes were $1048\, km$ and $1096\, km$ respectively, calculate its average velocity. Will the reading on the speedometer show this velocity when the vehicle is moving ? Support your answer with reason.