vocab concepts 200200 ap problems problems ii problems graphical analysis 1000 800 600 400 200 400...
TRANSCRIPT
Vocab Concepts
200
APProblems
Problems IIProblems GraphicalAnalysis
1000
800
600
400
200 200 200 200
400 400 400 400
600 600 600600
800 800 800 800
1000 1000 10001000 1000
800
600
400
200
The study of how objects move
Back
And the answer is . .
And the answer is . . .
Kinematics
Back
Back
Change in distance over change
In time
And the answer is . . .
And the answer is . . .
speed
Back
Displacement over time
Back
And the answer is . .
And the answer is . . .
Velocity
Back
Define scalar and give two examples of scalars.
Back
And the answer is . .
And the answer is . . .
Magnitude only (no direction)Speed, mass, temperature, etc.
Back
Define vector and give two examples.
Back
And the answer is . .
And the answer is . . .
Magnitude and direction
Velocity, acceleration, force, etc.
Back
What does negative velocity mean?
Back
And the answer is . .
And the answer is . . .
That the object is moving in the “negative-x” direction.
IT DOES NOT MEAN THAT IT IS SLOWING DOWN
Back
What does negative acceleration mean?
Back
And the answer is . .
And the answer is . . .
That the object is decelerating – slowing down.
Back
What is the velocity at the peak of a trajectory during free fall
problems?
Back
And the answer is . .
And the answer is . . .
ZERO!
Back
A feather and an elephant are both droppedfrom a cliff at the same time. If air resistance
is neglected, which will land first?
Back
And the answer is . .
And the answer is . . .
• They both will land at the same time.
Back
In the first section of the graph below, is the object at rest, moving at a constant speed, speeding up, or slowing down?
Back
And the answer is . .
And the answer is . . .
Moving at a constant speed
Back
The average speed of a runner who runs 5.00 kilometers in 30.0 minutes is. . .
(give answer in km/hr)
Back
And the answer is . .
And the answer is . . .
10.0 km/hr
Back
If a car travels 25 miles and maintains a speed of 65 miles per hour, how long was it traveling (give answer in hours)?
Back
And the answer is . .
And the answer is . . .
0.38 hrs
Back
If a car maintains a constant velocity of 90.0 km/hr for 25
seconds, what is its acceleration?
Back
And the answer is . .
And the answer is . . .
zero! The car’s velocity isn’t changing!
Back
A car accelerates from rest to 75 miles per hour in 5.0 seconds. Give the car’s acceleration in meters per
second.
Back
And the answer is . .
And the answer is . . .
• 6.7 m/s2
Back
A person walks 5.0 ft east for 4.0 seconds and then turns around
and walks 3.0 ft west for 2.0 seconds.
Determine the person’s average velocity for the entire trip in
meters per second.
Back
And the answer is . .
And the answer is . . .
0.11 m/s
Back
An stone is dropped from a cliff. What is its position after 4.5
seconds?
Back
And the answer is . .
And the answer is . . .
• 99 m
Back
A car falls off a cliff that is 150 meters high. At what
time will its velocity reach 25 m/s?
Back
And the answer is . .
And the answer is . . .
2.6 seconds
Back
A person standing on a building 80.0 meters high launches an arrow vertically upward at a speed of 50.0 m/s. How high
does the arrow go?
Back
And the answer is . .
And the answer is . . .
208 m
Back
A stone is thrown upward with a speed of 15.0 m/s. Calculate the total time the stone is in
the air.
Back
And the answer is . .
And the answer is . . .
3.06 s
Back
An airplane must reach a speed of 75.0 m/s for take-off. If the constant
acceleration of the airplane is 3.20m/s2, calculate necessary length
of the runway.
Back
And the answer is . .
And the answer is . . .
879 meters
Back
The slope of a position time graph gives . . .
Back
And the answer is . .
And the answer is . . .
average velocity
Back
How would you find the the displacement of an object if you were given a velocity-time graph?
Back
And the answer is . .
And the answer is . . .
Calculate the area under the curve
Back
Given the following graph, calculate the velocity of the object from 1 to 3 seconds
Back
And the answer is . .
And the answer is . . .
20 m/s
Back
On the graph below, determine the acceleration of the object from 6 to 8
seconds.
Back
And the answer is . .
And the answer is . . .
-1 m/s2
Back
On the graph below, determine the distance traveled by the car in the first 100 seconds.
Back
And the answer is . .
And the answer is . . .
1000 meters
Back
Back
If an object’s position is given by the function
x(t) = 3t3 + 2t2,
what will be the shape of the graph of its acceleration? And the answer is . .
And the answer is . . .
Linear
Take the second derivative of x(t) to find
a(t) = 18t + 4
Back
Back
The position of a particle is given by x(t) =4 + 3t - 2t2. What is the particle’s average acceleration from t=0 to t=3?
And the answer is . .
And the answer is . . .
- 4m/s2
(take the second derivative to get a(t) = -4. It is a constant acceleration).
Back
Give the particle’s position at t=3.00 seconds given the following information:
v(t) = 3t2 + 4t + 5x(0) = 0
Back
And the answer is . .
And the answer is . . .
60.0 meters.
Take the integral of v(t) to get
x(t) = t3 + 2t2 + 5t.
Evaluate x(3).
Back
Back
Given the following equation, x(t) = 3t.
What is the instantaneous velocity at 4 seconds?
And the answer is . .
And the answer is . . .
3 m/s
take the derivative of x(t) to get v(t) = 3.
Back
Back
The velocity of a particle moving in one dimension is given by the equation
v(t) = 2 + 6t2,
where velocity is in m/s and time is in seconds. What is the average value of the velocity in the interval t=0 to t=3?.
And the answer is . .
And the answer is . . .20 m/s
av. Vel = Δx / Δt
need to find x(t). Integrating gives:
x(t) = 2t + 2t3 + c. Δx = x(3) - x(0) = 60.
Av vel = 60 /3 = 20 m/s
Back
Back