October 2014 Firstly Homework check Changes in Velocity Imagine: You’re in an airplane going to __________. During take-off, you feel the airplane moving and your body is pushed back in the seat. Once you’re in the air, you don’t feel anything. What is happening with these changes in motion? Changes in Velocity We call theses changes in velocity “acceleration” How is acceleration (change in velocity) different than constant velocity? Changes in Velocity Changes in Velocity On a position-time graph, acceleration is always curved On a velocity-time graph, when acceleration increases or decreases uniformly, it is a straight line When an objects speed does not increase or decrease, it is uniform motion, so how does that look on a velocity-time graph? Changes in Velocity This is uniform motion/constant velocity on a velocity-time graph This is uniform motion on a position-time graph Changes in Velocity When an object’s velocity is decreasing, slowing down or moving in a negative direction, we call that negative acceleration You can use deceleration, but it is technically not a scientific term, because it only refers to the objects speed, not direction Changes in Velocity Now, we have 3 graph types Distance vs. Time Speed Position vs. Time Velocity Velocity vs. Time Acceleration We use them to calculate different things for different reasons, when would we use them differently and why? Changes in Velocity Let’s draw different speeds and velocities on different types of graphs... Distance-Time Graph ○ Constant speed * ○ Changing speed * Position-Time Graph ○ Positive uniform motion * ○ Negative uniform motion * ○ No motion * ○ Positive acceleration * ○ Negative acceleration * Velocity-Time Graph ○ Positive acceleration ○ Negative acceleration Changes in Velocity Lab #3 – The Moving Man Lab *Requires your laptop* We are not calculating acceleration, but ensuring that we understand how they look different on different graphs This is an individual activity, unless you forgot to bring a computer or the program doesn’t work for you We will finish this in class on Wednesday Some changes… I’m unable to have the science final exam worth 25%, so I’m dropping it to 20% I put this 5% into your presentation mark, so now the presentation is worth 10% Due to lack of frequent homework in this class, I’ve combined in class work and homework together to be work 20%, rather than 10% (this is better for you!) 6.1 – Accelerated Motion We can use velocity-time graphs to calculate acceleration, but we can also use them to calculate displacement Before we jump into this, what is the unit of measurement for acceleration? Velocity + Time ○ Example - (m/s²) Page 242 Sample Problem Step 1 Understand the question! Look for key words Step 2 Identify all numbers given Step 3 Strategize ○ Do you remember the word ‘composite’? Page 242 Sample Problem Step 1 Understand the question! Look for key words ○ “…a velocity of 14 m/s[S]…” ○ “0.50s to react… to stop the car.” ○ “…time that the car stopped is 3.0s.” ○ “…determine the displacement…during that 3.0s” Page 242 Sample Problem Step 2 Identify all numbers given ○ “…a velocity of 14 m/s[S] …” ○ “0.50s to react… to stop the car.” ○ “…time that the car stopped is 3.0s.” ○ “…determine the displacement…during that 3.0s” Page 242 Sample Problem Step 3 Strategize ○ Do you remember the word ‘composite’? ○ Draw the graph! Page 242 Sample Problem Step 3 Strategize ○ What are we doing when we calculate the area? ○ Why does the area under a velocity-time graph equal the displacement of the object? ○ https://www.khanacademy.org/science/physics/ one-dimensionalmotion/acceleration_tutorial/v/why-distance-isarea-under-velocity-time-line Sample Problem Let’s try 243 #1 together Sample Problem You try #2 and #3 now Types of acceleration Zero acceleration Only 2 neutralized forces acting on you Positive acceleration An additional force pushes you forward Negative acceleration An additional force pushes you back Section Review All questions, due next week I would like to work on some of these questions with a few students in class