1) Distance and displacement.notebook

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1) Distance and displacement.notebook

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SPH3U

Kinematics: Unit 1

Lesson Goal: To distinguish between distance and displacement and to find these values.

1) Distance and displacement.notebook

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Kinematics: The study of motion WITHOUT reference to the forces causing that motion.

We will analyze motion, graphically and in reference to the following concepts: distance and displacement, speed and velocity, acceleration, jerk?

1) Distance and displacement.notebook

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Scalar quantities are measurements that do NOT have a direction associated with them.

Vector quantities are measures with directions.

Distance - measured in metres and is the change in position of an object without using direction. It is a scalar.

Displacement is the change in position of an object using direction. It is a vector.

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To describe the motion of an object, we must specify the location of the object at all times.In one dimensional motion, an object moves either East­West or North­South...but in a straight line.Ex: a car drives along a straight road.

di df

At time zero, it is at a position di, the position of the car from some chosen origin.At a later time, the car is at a position df.

The change in position of the car is denoted as Δd.

If the car travelled a total of 23.0 m from time 0, then the change in position is 23.0 m ­ 0 = 23.0 m.The distance travelled is 23.0 m, the displacement travelled is 23.0 m [E].

1) Distance and displacement.notebook

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August 30, 2018

1) Distance and displacement.notebook

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Note: displacement is a vector but distance is a scalar!! (Sometimes they are similar.)

Displacement: the vector whose magnitude is the shortest distance between the initial and final positions of the motion and whose direction points from the initial to the final position.

Standard unit: metres (m).

1) Distance and displacement.notebook

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Number Line as ToolA number line will be useful to help envision this more readily. (Be careful: The starting point of the motion does not need to be zero.)

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

1) A car starts at +2m and moves to +6m on the number line.

The distance travelled is _____ and the displacement is _____.

2) A car moves from +2 km to - 3 km. d = ___ and d = ____.

3) A car starts at the origin, moves 5 km [W] and then 8 km [E].

d = _____ and d = ______

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Distance and displacement ws

Text q's Page 13 # #2-5, pg 15 #1, 2 pg 31 #20, 23