# 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