stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Particle motion, LHR, Linear Approximation, MVT, and Rates Flashcards | StudBud
Explore
/
Particle motion, LHR, Linear Approximation, MVT, and Rates
Particle motion, LHR, Linear Approximation, MVT, and Rates
19 terms
·
StudBud Administration
·
76 plays
AP questions on particle motion, linear approximation, rates, L'Hospital's Rule, and MVT
Flashcards
19 cards
F
Practice quiz
P
Host live
L
Questions
19
Answers
1
Given the position s(t)= t
3
+2t+6 what is the velocity at time t=4?
78
50
48
28
2
Given the
velocity
function, how many times does the particle change directions?
3
0
4
5
3
What is the relationship between the position, velocity, and acceleration functions?
Derivatives: velocity→acceleration→position
Derivatives: velocity→position→acceleration
Derivatives: position→velocity→acceleration
Derivatives: position→acceleration→velocity
4
Given the position function s(t)=1/3t
3
+3t
2
+5 when is the particle at rest for t > 0?
t = -9
t = 0
t = 6
t = -6, 0
5
Linear Approximation
4.8
-2.6
4.5
5.4
6
Given the velocity v(t)=sinx where does the function change directions on the interval 0<x<2π?
t = 0
t = π/2, 3π/2
t = 0, π, 2π
t = π
7
Using the same position function, s(t)= t
3
+2t+6, what is the acceleration at time t=4?
6
12
50
24
8
question
Your calculus grade is decreasing by -2 points/day
Your calculus grade is decreasing by 2 points/day
The ROC of your calculus grade is decreasing at a rate of -2 points/day2
The ROC of your calculus grade is decreasing at a rate of 2 points/day2
9
Given the position function s(t)=t
2
-6t+8 what is the position when the velocity is 0?
35
3
0
-1
10
Given the velocity function v(t)=-t
2
+3t is the particle speeding up or slowing down at t=2?
Speeding up
Slowing down
11
A graph of the velocity of a particle is shown. Where is the particle moving to the right?
(-∞, -7) U (5, ∞)
(-7, 2)
(2, 5)
(-7, 5)
12
Given the position function s(t)=-t
2
-3 what is the speed of the particle at t=5?
10
-10
-2
2
13
Speed is the _ of velocity
Reciprocal
Inverse
Absolute Value
Derivative
14
Give a value c that satisfules the conclusion of the Mean Value Theorem for the function f(x) = x
2
- x - 2 on [1,3].
3/2
1/2
2
5/4
15
The graph of the velocity of a particle is shown. Which way is the particle moving from (0,2)
Right
Left
16
The position function of a particle is shown. Where is the particle at rest?
x= -2.12, .786
The particle is always in motion
x=0
x= -3, -1, 2
17
Given the position function s(t)=cosx, is the particle moving to the right or left at t=7π/6?
Left
Right
18
Find the limit
2
0/0
1
0
19
Find the limit
3/2
9/4
1
0/0
