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Perry Particle Motion
Perry Particle Motion
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Calculus AB Applications of Derivatives
Flashcards
20 cards
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Practice quiz
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Questions
20
Answers
1
If the position function is p(x) =−32t
2
+24t+4. What is the maximum height the ball will reach?
6.5 feet
8.5 feet
32 feet
64 feet
2
What is the position function if the velocity function is 4x
3
+18x
2
+42x+58
3x4+9x3+42x2+28x + C
12x2+36x + 42
6x4+16x3+214x2+74x + C
x4+6x3+21x2+58x + C
3
If p(t) = 5x
4
+16x
2
+30x+80, what is the position at t = 15
257255
353462
3256245
143536
4
If p(t) = t
3
-12t
2
+36t+18, which of the following integrals represents negative velocity?
(0,2)
(4,7)
(7,9)
(2,4)
5
If the position function is 6t
2
+8t+3, what is the average velocity from t=0 to t=8.
104
52
56
102
6
What is the velocity at t = 8 if p(t) = 5x
2
+10x+64
64
74
90
80
7
What is t equal to when v = 0 if the position function is p(t) = (1/3)x
3
-9x
2
+81x+420
3
x2-18x+81
9
81
8
What is the acceleration function if the position function is x
3
+3x
2
-6x+14?
8x+4
3x2+6x-6
6x+6
3x+2
9
If the position function is sin(πt
3
), what is the velocity at t = 3.
-27π
81π
-90π
-9π
10
A particle's position function is p=2t
2
−4t+108. When is the particle at rest?
t=1
t=2
t=3
t=4
11
If a position function is x
2
+ 2x+4 Find the instantaneous velocity at x=4 sec.
4
6
10
16
12
If the position function p(t) =250−32t
2
, find the position when the velocity is zero.
250
125
500
0
13
v(t) = 200-64t. What is the position of the rocket at t = 2 when it is shot upward from 8 feet?
150 feet
125 feet
152 feet
128 feet
14
If the velocity function is v(x) = 1 + sin(2x
2
/2). Is the particle speeding up at t = 4?
Yes
No, it is slowing down.
15
The position function is p(x) =−16t
2
+64t +4. Find the time when the velocity is 0.
t=4
t=8
t=2
t=0
16
What is the position function if the acceleration function is x + 3?
(x3/6)+(3x2/2)+C
1
(x2/2)+3x +C
x3+3x2+C
17
If a particle's position function is t
2
−8t+9 When does the velocity equal 30 meters per second?
t=19
t=14
t=120
t=8
18
If the position function is p(t)=2t
3
+3t
2
+6, what is the acceleration at t=4?
32
27
12
54
19
What is the acceleration function if the position function is x
3
+ 3x
2
+ 2x+15
3x2 + 6x + 2
6x + 6
6x + 15
6
20
What is the velocity function if the position function is 2x
2
+ 3x +5
4x+3
8x
4x+4
4