# What is the total distance traveled?

to find the

**total distance traveled**. FACT: FACT: EXAMPLE 1: Find the**total distance traveled**by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0 ≤ t ≤ π /2. So to find the**total distance traveled**, I will have two integrals.A.

### Why is displacement different from distance?

**Distance**is a scalar quantity that refers to "how much ground an object has covered" during its motion.

**Displacement**is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

#### What is different between distance and displacement?

**Distance**is path length**between**two points, where are**displacement**is shortest**distance between**two points. In Physics the**displacement**has magnitude as well as directions.**Distance**is the total path travelled by a body. while**Displacement**is the change in position of a body.#### What is distance traveled?

Distance is a scalar quantity that refers to "how**much**ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.#### What is the measure of distance?

Astronomers use metric units, and in particular the cgs (centimeter-gram-second) system. The basic unit of distance is the centimeter (cm). There are 100 centimeters in a meter and**1000 meters**in a kilometer.

B.

### Is the total distance equal to the total displacement?

This artificial example shows that

**distance**and**displacement**have the same size only when we consider small intervals. Since the**displacement**is measured along the shortest path between two points, its magnitude is**always**less than or**equal**to the**distance**.#### What is the formula for displacement?

**Displacement**equals the original velocity multiplied by time plus one half the acceleration multiplied by the square of time. Here is a sample problem and its solution showing the use of this**equation**: An object is moving with a velocity of 5.0 m/s.#### How do you find the average velocity?

**Average Velocity**, General. The**average**speed of an object is defined as the distance traveled divided by the time elapsed.**Velocity**is a vector quantity, and**average velocity**can be defined as the displacement divided by the time.#### Can the body has zero velocity and acceleration?

(a) Yes, an object**can have zero velocity and still be accelerating**simultaneously. When the object stops for a moment, its**velocity**at that instant is**zero**, therefore no motion in either forward or backward direction. However the**acceleration**is**still**acting on it.

Updated: 3rd December 2019