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Changing Speed. ESPN Sports Figures. TRACKING SPEED: Speed vs. Acceleration. Investigate Recap. What happened to the cart as it rolled down the ramp? Speed? What happened to the cart as it rolled up the ramp? Speed? What can we say about an object that has a velocity that is changing?.
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ESPN Sports Figures TRACKING SPEED: Speed vs. Acceleration
Investigate Recap • What happened to the cart as it rolled down the ramp? • Speed? • What happened to the cart as it rolled up the ramp? • Speed? • What can we say about an object that has a velocity that is changing?
Investigate #12b • Formula/equation for acceleration: a=Δv/Δt
Vocabulary • Acceleration – the change in velocity with respect to a change in time; “how fast the velocity changes; a = Δv/Δt; unit: m/s/s • Vector – a quantity that has both magnitude and direction • Scalar – a quantity that has magnitude (size/amount), but no direction
Vector vs. Scalar • Why not just use speed? • What does velocity mean? • How can you change velocity without changing speed?
Changes in Velocity • Speed up (increase in speed) • Slow down (decrease in speed) • Turn (change the direction of the velocity) • What is happening in each of these situations?
Real World Connection Passing on a Two Lane Road • http://youtu.be/Duw-c8O8Y9Y
Vocabulary • Acceleration – the change in velocity with respect to a change in time; “how fast the velocity changes; a=Δv/Δt; unit: m/s/s • Vector – a quantity that has both magnitude and direction • Scalar – a quantity that has magnitude (size/amount), but no direction • Negative acceleration – a decrease in velocity with respect to time • Positive acceleration – an increase in velocity with respect to time
Describing Motion • What are the three ways to describe motion?
Describing Motion • What are the three ways to describe motion? Δv a Δt
Sample Problems • At the start of a race, a toy car increases speed from 5 m/s to 25.0 m/s as the clock runs from 0 s to 2.0 s. Find the acceleration of the toy car.
Vocabulary • Acceleration – the change in velocity with respect to a change in time; “how fast the velocity changes; a=Δv/Δt; unit: m/s/s • Vector – a quantity that has both magnitude and direction • Scalar – a quantity that has magnitude (size/amount), but no direction • Negative acceleration – a decrease in velocity with respect to time • Positive acceleration – an increase in velocity with respect to time • Tangent line – a straight line that touches a curve in only one point
Homework Complete Study Guide • Write down any questions so that you don’t forget when we return to class tomorrow