Starting from rest at the top of an inclined plane a body reaches the bottom of the inclined plane in $4$ second. In what time does the body cover one$-$fourth the distance starting from rest at the top ?

Write true or false for the following statements

In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.

$(a)$ Which type of motion is represented by the velocity$-$time graph shown below ?

$(b)$ Name the physical quantity which can be calculated by the area of rectangle $OABC$.

$(c)$ What does the straight line $AB$ represents ?

$(a)$ Define circular motion.

$(b)$ "Uniform circular motion is an accelerated motion". Justify this statement with reason.

$(c)$ An artificial satellite is moving in a circular orbit of radius $42250\, km.$ Calculate its speed if it takes $24$ hours to revolve once around the earth.

A cyclist goes once around a circular track of diameter $105$ metre in $5$ minutes. Calculate his speed.

$(a)$ Differentiate between distance and displacement.

$(b)$ Under what conditions is the magnitude of average velocity of an object equal to its average speed ?