Fill in the blanks:
$(a)$ Average velocity ....... average speed.
$(b)$ $A$ particle moves in a straight line with an initial velocity $v_0$ and constant acceleration $a$. The formula for the distance covered in the $n^{th}$ second is ............ .
$(c)$ When two objects are moving in the same direction with velocities $v_A$ and $v_B$,the formula for the velocity of $A$ relative to $B$ is .......... .

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(N/A) The magnitude of average velocity is always less than or equal to the average speed,i.e.,$\text{Average velocity} \leq \text{Average speed}$.
$(b)$ The distance covered by a particle in the $n^{th}$ second under constant acceleration $a$ is given by $d_n = v_0 + \frac{a}{2}(2n - 1)$.
$(c)$ The relative velocity of object $A$ with respect to object $B$ is given by $v_{AB} = v_A - v_B$.

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