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**II. Describing Motion Motion Speed & Velocity Acceleration**

Ch. 3 & 4 Motion & Forces II. Describing Motion Motion Speed & Velocity Acceleration

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**Newton’s First Law Newton’s First Law of Motion**

An object at rest will remain at rest and an object in motion will continue moving at a constant velocity unless acted upon by a net force. motion constant velocity net force

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**A. Motion Problem: Is your desk moving? We need a reference point...**

nonmoving point from which motion is measured

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**A. Motion Motion Change in position in relation to a reference point.**

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A. Motion Problem: You are a passenger in a car stopped at a stop sign. Out of the corner of your eye, you notice a tree on the side of the road begin to move forward. You have mistakenly set yourself as the reference point.

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**v d t B. Speed & Velocity Speed rate of motion**

distance traveled per unit time

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**B. Speed & Velocity Instantaneous Speed speed at a given instant**

Average Speed

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**B. Speed & Velocity Problem:**

A storm is 10 km away and is moving at a speed of 60 km/h. Should you be worried? It depends on the storm’s direction!

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**B. Speed & Velocity Velocity speed in a given direction**

can change even when the speed is constant!

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**t a C. Acceleration Acceleration the rate of change of velocity**

vf - vi t Acceleration the rate of change of velocity change in speed or direction a: acceleration vf: final velocity vi: initial velocity t: time

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**C. Acceleration Positive acceleration “speeding up”**

Negative acceleration “slowing down”

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**t d v D. Calculations d = 100 m v = d ÷ t t = 20 s**

Your neighbor skates at a speed of 4 m/s. You can skate 100 m in 20 s. Who skates faster? GIVEN: d = 100 m t = 20 s v = ? WORK: v = d ÷ t v = (100 m) ÷ (20 s) v = 5 m/s You skate faster! v d t

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**t a D. Calculations a = (vf - vi) ÷ t t = 3 s**

A roller coaster starts down a hill at 10 m/s. Three seconds later, its speed is 32 m/s. What is the roller coaster’s acceleration? GIVEN: vi = 10 m/s t = 3 s vf = 32 m/s a = ? WORK: a = (vf - vi) ÷ t a = (32m/s - 10m/s) ÷ (3s) a = 22 m/s ÷ 3 s a = 7.3 m/s2 a vf - vi t

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**t d v D. Calculations v = 330 m/s t = d ÷ v d = 1km = 1000m**

Sound travels 330 m/s. If a lightning bolt strikes the ground 1 km away from you, how long will it take for you to hear it? GIVEN: v = 330 m/s d = 1km = 1000m t = ? WORK: t = d ÷ v t = (1000 m) ÷ (330 m/s) t = 3.03 s v d t

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**t a D. Calculations t = ? t = (vf - vi) ÷ a t = (0m/s-30m/s)÷(-3m/s2)**

How long will it take a car traveling 30 m/s to come to a stop if its acceleration is m/s2? GIVEN: t = ? vi = 30 m/s vf = 0 m/s a = -3 m/s2 WORK: t = (vf - vi) ÷ a t = (0m/s-30m/s)÷(-3m/s2) t = -30 m/s ÷ -3m/s2 t = 10 s a vf - vi t

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**E. Graphing Motion slope = speed steeper slope = straight line =**

* 07/16/96 E. Graphing Motion Distance-Time Graph A B slope = steeper slope = straight line = flat line = speed faster speed constant speed no motion *

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**E. Graphing Motion Who started out faster? A (steeper slope)**

Distance-Time Graph A B Who started out faster? A (steeper slope) Who had a constant speed? A Describe B from min. B stopped moving Find their average speeds. A = (2400m) ÷ (30min) A = 80 m/min B = (1200m) ÷ (30min) B = 40 m/min

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E. Graphing Motion Distance-Time Graph Acceleration is indicated by a curve on a Distance-Time graph. Changing slope = changing velocity

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**E. Graphing Motion acceleration slope = +ve = speeds up**

Speed-Time Graph acceleration +ve = speeds up -ve = slows down slope = straight line = flat line = constant accel. no accel. (constant velocity)

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**E. Graphing Motion Specify the time period when the object was...**

Speed-Time Graph Specify the time period when the object was... slowing down 5 to 10 seconds speeding up 0 to 3 seconds moving at a constant speed 3 to 5 seconds not moving 0 & 10 seconds

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What is acceleration? – Probably heard it mean: “the process of speeding up” – More specifically: the rate at which velocity changes. Remember that velocity.

What is acceleration? – Probably heard it mean: “the process of speeding up” – More specifically: the rate at which velocity changes. Remember that velocity.

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