Evans SPH 3U1

Unit 1: Kinematics

Note 5: Uniform Acceleration Equations and Catch Ups

Reference: Chapter 1.5

Derive the Five Equations:

Example 1: A car accelerates uniformly from rest at t = 0.0s at 4.0 m/s2. How far does the car travel between 0.0s and 3.0 s? How about between 3.0 s and 8.0 s?

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Handout

Evans SPH 3U1

Unit 1: Kinematics

Note 5:  Free Fall and Terminal Velocity

Reference: Chapter 1.6

Free Fall & Terminal Velocity:

Demo heavy and light objects dropping.

We use the term "free fall" when something is falling towards the earth. The object will accelerate toward the earth at 9.8 m/s2. (). However, because the earth is surrounded by an atmosphere, free falling objects will be resisted by air.

A falling object will accelerate until a maximum velocity is reached. This is called the terminal velocity.

Discuss how one could decrease their terminal velocity (normally about 190 km/h)

Example 1: A ball is dropped from a balcony 15 m above the ground. With what velocity does it strike the ground? 17 m/s [down]

Example 2: A ball is thrown UP with a speed of 10. m/s [up] from a 15 m high balcony.

a) How long is the ball in the air?

b) How high does the ball rise (maximum height reached)?

c) With what speed doe it hit the ground?

Example 3:  A ball is thrown DOWN with a speed of 10. m/s [up] from a 15 m high balcony.

a) How long is the ball in the air?

b) How high does the ball rise (maximum height reached)?

c) With what speed does it hit the ground?

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Superman Question (old text)

Kinematics in 1D Handout