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Section 1: Displacement, Velocity, and Acceleration

Section 1: Displacement, Velocity, and Acceleration. Displacement: Is the distance from where you start to where you finish. Δ d= d f -d i. Velocity: How fast and in what direction (vector quantity) V = ∆d/t Speed: How fast (scalar quantity)

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Section 1: Displacement, Velocity, and Acceleration

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  1. Section 1: Displacement, Velocity, and Acceleration

  2. Displacement: Is the distance from where you start to where you finish. Δd=df-di

  3. Velocity: How fast and in what direction (vector quantity) V = ∆d/t Speed: How fast (scalar quantity) Average Velocity: Overall velocity or the total displacement divided by the total time. Instantaneous Velocity: Velocity at a given moment.

  4. Sample Calcs: Q1: What is the average velocity of a car that moved 60km in 3 hours? Q2: How far will a car travel in 25 min at 12 m/s?

  5. Practice Problems • What is the time for a student to travel 20m when they have a velocity of 5m/s. • Find the velocity of a car that travels 100m in 10 seconds.

  6. Sample Calc 3: TUFFY  Q3: Car A is traveling 30m/s at mile marker 50 meters and car B is traveling 70m/s at mile marker zero. Find the mile marker where the will meet.

  7. Speed TrapActivity: Objective: Find the tanks velocity. Find how far the tank will go in 15 seconds.

  8. Cable Car Demo: Find the cars speed and how far it will go in 6 seconds: ΔX=_____ t=_______

  9. Acceleration (a) : Rate that an object changes its velocity or speed and direction. Centripetal Acceleration: Acceleration due to a change in direction Linear Acceleration: acceleration along a straight path

  10. What linear acceleration means: For every one second that passes, the rockets velocity will increase by ___________m/s

  11. Acceleration Equations: Change in velocity with acceleration: a = (Vf – Vi )/t Displacement with acceleration: df = di +vit + 1/2at2 Final velocity after displacement: Vf2 = Vi2 + 2aΔd

  12. Sample Calc 1: 1) If a car accelerates from zero to 16 m/s in 2 seconds, what is the car's average acceleration? 2) Find How far it traveled in 2 seconds:

  13. Sample Calc 2: • Find the acceleration of a rocket that goes from zero to 30m/s in 10 seconds? • How fast is it traveling after 4 seconds? • How far does it go in 4 seconds?

  14. Sample Calc 3: A track runner accelerates from 2 m/s to 10m/s in 2 seconds. • What is his acceleration? • How fast is he going after 5 seconds? • How far will he go in 5 seconds?

  15. Sample 4: A rocket accelerates from 5m/s to 20 m/s in 2 seconds at a constant rate. Find the following • What is the rockets acceleration? • Find the velocity at B which is at 4 seconds of travel: • Find the velocity at C which is 6 seconds of travel: • How far the rocket traveled at C:

  16. Sample Calc 4: (Honors) Q3: Car A starts at miles marker zero and begins to accelerate forward at a rate of 10m/s2. Car B is heading in the opposite direction at mile marker 400 meters and begins to accelerate at -20m/s. Find where they meet.

  17. Sample Calc 4: Q: You started to run at 10 m/s when you left your house and you arrived at school 300 seconds later. Assuming that your average acceleration was 30 m/s2, how fast were you running when you arrived?

  18. Velocity Warm-up: 1) Find the velocity of a car that passes through a 50 m speed trap in 2 seconds? 2) How far will this car have traveled in 10 seconds?

  19. Velocity Warm up: Superman passes through a 30 meter long speed trap in .01 seconds. 1) How fast is he going? 2) How long would it take him to fly around the earth if it has a circumference of 40,000,000 meters.

  20. Velocity Warm-up: Two cars approach each at the following velocities. Find where they collide.

  21. Warm Up: A car accelerates from zero to 40m/s in 10 seconds and then traveled at a constant speed for 20 seconds Find the following. a) Acceleration for the first 10 seconds: b) How far the car traveled for the first 10 seconds: c) How far the car traveled for while moving at constant speed:

  22. $$Practice Problem: A water balloon is dropped from a skyscraper that is 100 meter high. Find the following if the balloon accelerates at a rate 30 m/s2. • Final velocity. • Time to hit the ground.

  23. Warm up: A rocket car is initially traveling at 30 m/s and turns on it thrusters to slow down. If the thrusters produce an acceleration of 10 m/s/s for 40 seconds, find the cars final location. What is the cars velocity?

  24. Velocity Quiz: (5 pts each) A racecar passes through 20meter speed trap in 40 seconds. Find the following: • The cars speed. • How far the car will go in 50 seconds. • The time it will take the car to go 80 meters.

  25. Acceleration Quiz: (5 pts each)A ball is dropped and it accelerates at a rate of 20 m/s2 for 15 seconds. • Find how far the ball drops. • Find the balls final velocity.

  26. Acceleration and Velocity Quiz: (5pts each) A car accelerates from restto 90 m/s in 3 seconds. 1) Find its acceleration: 2) Find how far it traveled. 3) A rocket is traveling at constant speed of 20m/s for 4 seconds. Find how far the rocket will travel.

  27. Physics CP - Acceleration and Velocity Quiz #1: (5pts each) A rock is thrown straight down at a velocity of 10 m/s off of a cliff on an alien moon. If the rock reaches a velocity of 40 m/s in 5 seconds, find the following: 1) Find its acceleration: 2) Find how far it traveled in 5 seconds. 3) Find the rocks velocity after 10 seconds of falling.

  28. Online Timer: • http://www.online-stopwatch.com/large-stopwatch/

  29. Quiz: A racecar passes through its final lap traveling at 55 m/s and applies it’s breaks for 2 seconds while slowing down to 5 m/s. Find the following: • Acceleration of the car: (5pts) • Displacement traveled: (5pts) • Average velocity of the car during the deceleration: (5pts)

  30. Text Problems From Holt • Pg 49 (1-5) • Pg 53 (1-4) • Pg 55 (1-4) • Pg 58 (1-6)

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