Chapter 2, Problem 34R

To determine

To compare:the pair acceleration and velocity.

Explanation of Solution

Introduction:

Velocity may be defined as the rate of distance change over time. It has direction as well as magnitude. At the other hand, acceleration is the rate of velocity change over time.

To figure out how far an object is positioned or how quickly it is moving; one wants a reference point from which it should be measured. Any physical calculation begins from a point of reference. Measurement is an object's state with respect to some other related parameter.

Velocity is the rate of change of position of an object with respect to time and it has also direction. It has both magnitude and direction. Velocity is expressed in m/s.

Acceleration is the quantity which tells how velocity is changing with time. It is measured in ${\text{m/s}}^{\text{2}}$ .

Conclusion:

Hence,velocity is the rate of change of distance with time and acceleration is differentiation of velocity with time.