Motion Study Guide & Notes MR. ROSATO’S HONORS PHYSICAL SCIENCE FALL 2014.
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Transcript of Motion Study Guide & Notes MR. 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
}/)/{(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
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?