Question

Match the statements of Column A with those of Column B.

Column A	Column B
(A) Uniform velocity Derived quantity	(a) $Totaldis\tan ce÷Time$
(B) Average speed	(b) $m{s}^{-2}$
(C) Average velocity	(c) Acceleration is zero
(D) Acceleration	(d) Ratio of total displacement to total time taken

• A. $A\to c;B\to a;C\to d;D\to b$
• B. $A\to a;B\to c;C\to b;D\to d$
• C. $A\to c;B\to a;C\to b;D\to d$
• D. $A\to a;B\to b;C\to c;D\to d$

Answer 1

The correct option is A

$A\to c;B\to a;C\to d;D\to b$

(A) Uniform velocity Derived quantity

1. If an object covers an equal distance in equal intervals of time then the object will have uniform velocity.
2. Acceleration is defined as the ratio of change in velocity per time taken
3. The velocity is constant means the value of change velocity is zero.
4. So, the acceleration is also zero.

So, $A\to c$

(B) Average speed

1. Average speed is the ratio of the total distance traveled by the object to the time taken.
2. So,$Averagespeed=\frac{Totaldis\tan ce}{timetaken}$

So, $B\to a$

(C) Average velocity

1. Average velocity is defined as the ratio of the total displacement to the time taken
2. $Averagevelocity=\frac{totaldisplacement}{timetaken}$

So, $C\to d$

(D) Acceleration

1. Acceleration is defined as the ratio of change in velocity to the time taken.
2. $accelaration=\frac{dv}{dt}$
3. The unit of velocity is $m{s}^{-1}$and the SI unit of the time is second
4. So SI unit of acceleration is,$a=\frac{m{s}^{-1}}{s}=m{s}^{-2}$

So $D\to b$

Hence, option (a) is correct.