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Vector vs. Scalar Quantities A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of.

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Presentation on theme: "Vector vs. Scalar Quantities A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of."— Presentation transcript:

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2 Vector vs. Scalar Quantities A vector quantity is a quantity that has both magnitude and direction. Velocity, acceleration, and force are examples of vector quantities. A scalar quantity is a quantity that has magnitude, but no direction. Time, mass, volume, and speed are examples of scalar quantities.

3 What is Velocity? Velocity is a vector quantity that refers to "the rate at which an object changes its position.” Velocity is speed in a given direction. Example: Marsha is driving 35 mph in the west direction. Velocity=change in distance/change in time You must include direction when talking about velocity!

4 What is Acceleration? Acceleration is the rate of change in velocity over time. Acceleration is measured in meters per second per second (m/s/s) Acceleration= Final velocity-Starting velocity/time

5 Acceleration continued… The acceleration formula can be rearranged to solve for other variables such as final speed (v2) and time (t). vf = vi + (a × t) t=vf-vi/a

6 Acceleration practice problems A skater increases her velocity from 2.0 m/sec to 10.0 m/sec in 3.0 seconds. What is the skater’s acceleration? Beginning speed = 2.0 m/sec Final speed = 10.0 m/sec Change in time = 3 seconds Acceleration=10.0m/s-2.0m/s divided by 3sec= 8.0m/s divided by 3 sec=2.7m/s/s

7 Acceleration practice problems A car accelerates at a rate of 3.0 m/sec2. If its original speed is 8.0 m/sec, how many seconds will it take the car to reach a final speed of 25.0 m/sec? Beginning speed = 8.0 m/sec Final speed = 25.0 m/sec Acceleration = 3.0 m/sec2 What are we solving for? What is our formula?

8 We are solving for time! Time=final velocity-initial velocity divided by acceleration. 25.0m/s-8.0m/s divided by 3.0m/s/s Time=17.0m/s divided by 3.0m/s/s Time=5.7seconds


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