If the position of a particle is represented by s(t) = -t2 + 1, what is its position at t = 1?
Position = 0
Position = 1
Position = 2
Position = -1
2. Multiple Choice
15 minutes
1 pt
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?
v(t) = -2
v(t) -2t - 1
v(t) = t3
v(t) = -t
3. Multiple Choice
15 minutes
1 pt
If the position of a particle is represented by s(t) = -t2 + 1, what is its instantaneous velocity at t = 1?
Velocity = 0
Velocity = 1
Velocity = -1
Velocity = -2
4. Multiple Choice
5 minutes
1 pt
The acceleration function is the first derivative of...
position
velocity
calculus
particle motion
5. Multiple Choice
15 minutes
1 pt
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction?
2
4
6.5
7
6. Multiple Choice
1 minute
1 pt
The position function x(t)=7t2-18t-7 is given. What is the velocity function?
v(t)=14t-18
v(t)=14t+18
v(t)=18t-14
v(t)=18t+14
7. Multiple Choice
15 minutes
1 pt
The position function x(t)=t3+6t2+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?
197
190
18
196
8. Multiple Choice
1 minute
1 pt
The velocity of an object is given as v = 2t + 3t3. What is the acceleration of the object at t = 2 secs?
38 m/s/s
27 m/s/s
16 m/s/s
49 m/s/s
9. Multiple Choice
2 minutes
1 pt
Given x(t)=t3-4t2+7, what is the initial position?
11
-10
7
0
10. Multiple Choice
1 minute
1 pt
A particle's speed is decreasing if
it's acceleration is positive
it's velocity is positive
it's velocity and acceleration have the same sign
it's velocity and acceleration have different signs
11. Multiple Choice
2 minutes
1 pt
A particle has positive velocity if it's position graph is
negative
positive
decreasing
increasing
12. Multiple Choice
2 minutes
1 pt
A particle has negative velocity if it's position graph is
negative
positive
decreasing
increasing
13. Multiple Choice
2 minutes
1 pt
v(t)>0 means
the particle is moving to the right
the particle is moving to the left
the particle has positive position
the particle is at rest
14. Multiple Choice
1 minute
1 pt
Which of the following can be used to determine when a particle is at rest?
x(t)=0
v(t)=0
a(t)=0
15. Multiple Choice
15 minutes
1 pt
s(t) = t2 - 20 Find the average velocity from t = 3 to t = 5.
2
4
6
8
16. Multiple Choice
15 minutes
1 pt
An objects distance from its starting point at time t is given by the equation s(t) = t3 - 6t2 - 4. What is the speed of the object when its acceleration is 0?
2
-24
22
44
17. Multiple Choice
5 minutes
1 pt
If Distance is a function of Time, what is the average rate of change from 6 to 9 seconds?
3.3 feet per second
-10 feet per second
-3.3 feet per second
10 feet per second
18. Multiple Choice
5 minutes
1 pt
What is the total distance of the object represented in this motion graph?
0 meters
300 meters
450 meters
600 meters
19. Multiple Choice
5 minutes
1 pt
What is the total displacement of the object represented in this motion graph?
0 meters
300 meters
450 meters
600 meters
20. Multiple Choice
15 minutes
1 pt
What is the total distance of the object represented in this motion graph?
0 meters
100 meters
140 meters
200 meters
21. Multiple Choice
5 minutes
1 pt
What is the total displacement of the object represented in this motion graph?