Motion Study Guide & NotesMR. ROSATO’S HONORS PHYSICAL SCIENCE

FALL 2014

Graphing Functionsy=f(x)

The equation for y=f(x) describes mathematically how y(dependent variable) depends on x (independent variable)

y

x

y = 2x

Slope of a Curve

x1)-(x2

y1)-(y2

__

__

run

rise

xinchange

yinchangeslope

Slope shows how much y changes with x

Slope = 3/2 Y

X

Y

X

Slope of a Distance-Time (DT) Curve

)(n_time_

tan__

__

__

s

mspeed

ichange

cedisinchange

xinchange

yinchangeslope

Slope of a Distance vs. Time Graph (DT) is SPEED!

Slope

Describe the Motion Practice

}/)/{(n_time_

__

__

__ssmonaccelerati

ichange

speedinchange

xinchange

yinchangeslope

Slope of a Speed/Velocity-Time (VT) Graph is ACCELERATION!

Positive (Constant) Velocity with

Zero Acceleration

Positive Velocity with

Positive Acceleration

The slope of a VT graph shows how fast the speed is changing – or how the object is accelerating

Reading a Velocity-Time (VT) Graph

Acceleration

Measures how fast velocity changes1. Speeding up = + acceleration

2. Slowing down = - acceleration

3. Change in direction = could be + or -

= slope of VT curve = change in velocity/change in time

Calculating Acceleration

A rocket can move 100 kilometers in 4 seconds. What speed is it moving at?

 

What speed (in m/s) is a skateboarder moving if he can skate 10 kilometers in 10 minutes?

 

A red Ferrari zooms over 500 metres in 4 seconds. What is its speed?

 

How long would it take a snail to slither 20 meters at 5 meters per hour?

 

How many seconds does it take an Indy race car to travel a 240 meter straight section at 80 m/s?

1. How fast is a bird flying if it goes 50 meters in 5 seconds ?

 2. If a lizard crawls 10 meters in 20 seconds, what is its speed?

3. If a fish swims a distance of 4 km in 2 hours, what is its speed?

 4. If a baseball is traveling at 60 m/s, how far will it go in 3 seconds?

 

5. How much time will it take a bike going 5 m/s to travel 20 meters ?

 

6. If a sprinter runs 40 meters in 5 seconds what is his speed? 

7. If an insect travels for 300 seconds at a speed of 2 cm/second, how far will it have traveled?