WorksheetsCalculus Physics
Total questions: 29
Worksheet time: 2hrs 43mins
Name
Class
Date
1.
If the position of a particle is represented by s(t) = -t2 + 1, what is its position at t = 1?
a)
Position = 0
b)
Position = 1
c)
Position = 2
d)
Position = -1
2.
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?
a)
v(t) = -2
b)
v(t) -2t - 1
c)
v(t) = t3
d)
v(t) = -t
3.
If the position of a particle is represented by s(t) = -t2 + 1, what is its instantaneous velocity at t = 1?
a)
Velocity = 0
b)
Velocity = 1
c)
Velocity = -1
d)
Velocity = -2
4.
The acceleration function is the first derivative of...
a)
position
b)
velocity
c)
calculus
d)
particle motion
5.
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?
a)
2
b)
4
c)
6.5
d)
7
6.
The position function x(t)=7t2-18t-7 is given. What is the velocity function?
a)
v(t)=14t-18
b)
v(t)=14t+18
c)
v(t)=18t-14
d)
v(t)=18t+14
7.
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?
a)
197
b)
190
c)
18
d)
196
8.
The velocity of an object is given as v = 2t + 3t3. What is the acceleration of the object at t = 2 secs?
a)
38 m/s/s
b)
27 m/s/s
c)
16 m/s/s
d)
49 m/s/s
9.
Given x(t)=t3-4t2+7, what is the initial position?
a)
11
b)
-10
c)
7
d)
0
10.
A particle's speed is decreasing if
a)
it's acceleration is positive
b)
it's velocity is positive
c)
it's velocity and acceleration have the same sign
d)
it's velocity and acceleration have different signs
11.
A particle has positive velocity if it's position graph is
a)
negative
b)
positive
c)
decreasing
d)
increasing
12.
A particle has negative velocity if it's position graph is
a)
negative
b)
positive
c)
decreasing
d)
increasing
13.
v(t)>0 means
a)
the particle is moving to the right
b)
the particle is moving to the left
c)
the particle has positive position
d)
the particle is at rest
14.
Which of the following can be used to determine when a particle is at rest?
a)
x(t)=0
b)
v(t)=0
c)
a(t)=0
15.
s(t) = t2 - 20
Find the average velocity from t = 3 to t = 5.
Find the average velocity from t = 3 to t = 5.
a)
2
b)
4
c)
6
d)
8
16.
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?
a)
12
b)
-24
c)
22
d)
44
17.
If Distance is a function of Time, what is the average rate of change from 6 to 9 seconds?
a)
3.3 feet per second
b)
-10 feet per second
c)
-3.3 feet per second
d)
10 feet per second
18.
a)
(3x2-2) cos(x3-2x)
b)
-(3x2-2) cos(x3-2x)
c)
cos(2x2-2)
d)
sin(2x2-2)
19.
a)
position
b)
velocity
c)
acceleration
d)
total distance
20.
a)
position
b)
velocity
c)
acceleration
d)
total distance
21.
a)
f ' [g(x)]
b)
f ' [g(x)] (g'(x))
c)
f ' [g'(x)] (g(x))
d)
f ' [g'(x)]
22.
The position function x(t)=7t2-18t-7 is given. What is the velocity function?
a)
v(t)=14t-18
b)
v(t)=14t+18
c)
v(t)=18t-14
d)
v(t)=18t+14
23.
You are given a position function how many times will you have to derive the function to find the velocity function?
a)
None
b)
Derive three times
c)
Derive once
d)
Derive twice
24.
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?
a)
197
b)
190
c)
18
d)
196
25.
Find the derivative f(x) = tanxcosx
a)
f'(x) = sec2xcosx - tanxsinx
b)
f'(x) = sec2xcosx + tanxsinx
c)
f'(x) = sec2xsinx
d)
f'(x) = sec2xcosx - tanxcosx
26.
Given x(t)=3t2-e2x, what is v(t)?
a)
v(t)=6t-e2x
b)
v(t)=6t-2e2x
c)
v(t)=6t-2ex
d)
v(t)=6t-2xe2x
27.
A particle has positive acceleration if it's
a)
it's position graph is increasing
b)
it's position graph is decreasing
c)
it's velocity graph is increasing
d)
it's velocity graph is decreasing
28.
A particle has negative acceleration if it's
a)
it's position graph is increasing
b)
it's position graph is decreasing
c)
it's velocity graph is increasing
d)
it's velocity graph is decreasing
29.
Which of the following is a unit for acceleration?
a)
km/s
b)
m/s2
c)
mi/hr
d)
ft
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