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VELOCITY

Velocity

Definition Of Velocity

The rate of change of position is known as Velocity

More About Velocity

Velocity is a vector quantity
Velocity is also defined as the distance per unit time, i.e if s is distance travelled in time t, then velocity v = s/t
m/sec, cm/sec, ft/sec, km/hr, mles/hr

The first derivative of position vector (s) with respect to time (t) is also known as velocity. i.e 

Video Examples: What is Velocity?

Examples of Velocity

If Ed covers a distance of 225 miles in 5 hrs, then Ed drives with a velocity of  miles/sec.

Solved Example on Velocity

Ques: A submarine descends 240 ft in 12 seconds. What is the velocity of the submarine?

Choices:

A. 30 ft per second
B. - 30 ft per second
C. - 20 ft per second
D. 20 ft per second
Correct Answer = C

Solution:

Step 1: Velocity = Displacemet /Time
Step 2: Since the submarine is descending, displacement will be negative.
Step 3: So, velocity = - 240/12 [Substitute the values of displacement and time.]
Step 4: = - 20 [Divide.]
Step 5: So, the velocity of the submarine is - 20 ft per second.

Quick Summary

  • Velocity is a vector quantity.
  • Velocity is defined as displacement per unit time.
  • Velocity can be positive or negative, indicating direction.
\[ v = \frac{ds}{dt} \]

🍎 Teacher Insights

Emphasize the vector nature of velocity and its distinction from speed. Use real-world examples to illustrate the concept of direction.

🎓 Prerequisites

  • Displacement
  • Time
  • Basic Algebra

Check Your Knowledge

Q1: A car travels 100 meters east in 10 seconds. What is its velocity?

Q2: A submarine descends 240 ft in 12 seconds. What is the velocity of the submarine?

Frequently Asked Questions

Q: What is the difference between speed and velocity?
A: Speed is the magnitude of velocity. Velocity includes both magnitude and direction.

Q: Can velocity be negative?
A: Yes, a negative velocity indicates motion in the opposite direction to the chosen positive direction.

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