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Section 1: Displacement, Velocity, and Acceleration Section 1: Displacement, Velocity, and Acceleration

Section 1: Displacement, Velocity, and Acceleration - PowerPoint Presentation

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Section 1: Displacement, Velocity, and Acceleration - PPT Presentation

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 dt Speed How fast scalar quantity ID: 778136

velocity seconds acceleration find seconds velocity find acceleration car speed traveled sample accelerates traveling calc fast rocket final rate

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Presentation Transcript

Slide1

Section 1: Displacement, Velocity, and Acceleration

Slide2

Displacement:

Is the distance from where you start to where you finish.

Δ

d=df-di

Slide3

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.

Slide4

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?

Slide5

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.

Slide6

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.

Slide7

Speed Trap

Activity:

Objective:

Find the tanks velocity.

Find how far the tank will go in 15 seconds.

Slide8

Cable Car Demo:

Find the cars speed and how far it will go in 6 seconds:

ΔX=_____

t=_______

Slide9

Acceleration (a) : Rate that an object changes its velocity or speed and direction.

Linear Acceleration:

acceleration along a straight path

Centripetal Acceleration:

Acceleration due to a change in direction

Slide10

What linear acceleration means:

For every one second that passes, the rockets velocity will increase by ___________m/s

Slide11

Acceleration Equations:

Change in velocity with acceleration:

a

= (Vf – Vi

)/tDisplacement with acceleration:

d

f

= d

i

+

v

i

t

+ 1/2at

2

Final velocity after displacement:

V

f

2

= V

i

2

+ 2a

Δ

d

Slide12

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:

Slide13

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?

Slide14

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?

Slide15

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:

Slide16

Sample Calc 4: (Honors)

Q3: Car A starts at miles marker zero and begins to accelerate forward at a rate of 10m/s

2

. Car B is heading in the opposite direction at mile marker 400 meters and begins to accelerate at -20m/s. Find where they meet.

Slide17

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?

Slide18

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?

Slide19

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.

Slide20

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

Slide21

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:

Slide22

$$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/s

2.

Final velocity.

Time to hit the ground.

Slide23

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?

Slide24

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.

Slide25

Acceleration Quiz: (5 pts each)A ball is dropped and it accelerates at a rate of 20 m/s

2 for 15 seconds.

Find how far the ball drops.

Find the balls final velocity.

Slide26

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.

Slide27

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.

Slide28

Online Timer:

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

Slide29

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)

Slide30

Text Problems From Holt

Pg

49 (1-5)

Pg 53 (1-4)Pg 55 (1-4)Pg

58 (1-6)