Section 1: Displacement, Velocity, and Acceleration

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Presentation transcript:

Section 1: Displacement, Velocity, and Acceleration

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

V = ∆d/t Velocity: How fast and in what direction (vector quantity) 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.

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?

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.

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.

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

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

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

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

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

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:

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?

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?

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:

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.

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?

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?

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.

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

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:

Final velocity. Time to hit the ground. $$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.

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?

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.

Find how far the ball drops. 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.

Acceleration and Velocity Quiz: (5pts each) A car accelerates from rest to 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.

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.

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

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)

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