Name: ________________________ Class: ___________________ Date: __________
Exam 1--PHYS 201--F15
Multiple Choice (40 points)
Identify the choice that best completes the statement or answers the question.
1. A mid-sized car has an approximate volume of:
a. 15 m3
b. 150 m3
c. 1500 m3
d. 15000 m3
e. none of these are reasonable
5. Consider this equation. The units for the variables
are as follows: (t: s; v: m/s; a: m/s 2; x: m) What
must be the units for B if the equation is
dimensionally correct?
3π
2. A guy in a kayak can travel approximately what
distance in 10 minutes?
a. 6 m
b. 600 m
c. 6000 m
d. 60,000 m
a.
b.
3. Which of these equations is dimensionally correct?
c.
I.
II.
III.
a.
b.
c.
d.
e.
v2 = v20 + 2ax
1 mv 2 + xma = mx2 1
2
t
v= x
t
d.
mv
m
=B v
t
a
s −2
m
s3
3πs 2
kg
s
6. Which of these is the proper solution, in decimal
notation and with proper significant figures, of this
calculation?
(3.40)(12.25)
= 8.465447
4.92
II & III
I & III
III
II
all of these are correct
a.
b.
c.
d.
e.
4. Which of these is the standard for measurement of
the meter?
a. the distance that light travels in a particular
amount of time
b. a fraction of the Earth’s orbit around the Sun
c. a bar in France
d. a multiple of the oscillation length for the
cesium atom
8.4654
8.465
8.47
8.5
9
7. If the velocity of a car is non-zero (v≠0), can the
acceleration of the car be zero?
a. Absolutely yes!
b. Surely not!
c. it depends on the velocity
1
8. Consider the following right triangle. What is the
angle, θ?
a.
15°
b.
20°
c.
70°
d.
30°
13.
Which of these statements represent the motion
represented in this plot?
a.
b.
c.
d.
9. Consider the triangle in the previous problem.
What is the length of the hypotenuse?
a. 82 m
b. 21 m
c. 9.0 m
d. 12 m
decreasing speed, negative velocity
decreasing speed, positive velocity
increasing speed, negative velocity
increasing speed, positive velocity
14. Consider this position versus time graph. Which of
the following best represents the velocity versus
time graph for the object described in the position
versus time graph?
10. Acceleration is the rate of change of velocity. A
car accelerates at a rate of 12 m/s 2. What is this in
miles/hour2? (1 mile=1609 meters)
a.
b.
c.
d.
e.
0.0075 mi/hr2
97,0000 mi/hr2
19,000 mi/hr2
0.0015 mi/hr2
27 mi/hr2
a.
b.
c.
d.
11. You and your dog go for a hike. You walk on the
path, but your dog runs all over, crossing your path
many times. Your dog’s average velocity is
__________.
a. more than your average velocity.
b. equal to your average velocity.
c. less than your average velocity.
d. it depends on the breed of the dog.
a
b
c
d
15. A car begins at a velocity of -30 m/s and ends at a
velocity of -50 m/s. Which of these position versus
time graphs represent this motion?
12. You throw a ball in the air. It requires 10 seconds
to travel to its maximum height. How long does it
take to return to your hand?
a. less than 10 seconds
b. 10 seconds
c. more than 10 seconds
d. it depends on the acceleration due to gravity
a.
b.
c.
d.
2
a
b
c
d
Problems (60 points)
16. (10 pts) Consider this graph:
a) What is the average acceleration between t=1 and t=3 seconds?
b) Estimate the instantaneous acceleration at t=2 s.
c) Estimate the total distance traveled between t=1 and t=3 seconds. (Show and/or explain your work.)
.
17. (10 pts) You throw a ball up with an intial velocity of 30.0 m/s.
a) How long does it take the ball to return to you?
b) How high does the ball travel?
c) What is the velocity at t=2.0 seconds?
d) Sketch the position versus time graph for this motion.
3
18. (20 pts) The position of a particle moving along the x-axis is given by the following function. The particle is
initially at x=0 m.
x = 3.0t 2 − 2.0t 3
a) What are the units of the values 3.0 and 2.0?
b) Write the function that describes the velocity.
c) Write the function that describes the acceleration.
d) How long does the object take to return to its original position?
e) What is the velocity at t=0.5 seconds?
Bonus (3 pts) At what time does the particle reach its maximum x-position?
19. (20 pts) A car travelling 56 km/hr is 24 meters from a barrier when the driver slams on the brakes. The car hits the
barrier 2.0 seconds later. The barrier slows the car at a constant rate and, after striking the barrier, the car
continues to travel for 1.0 meter before stopping.
a) What is the car’s acceleration in the time before impact?
b) What is the car’s speed at impact?
c) During impact, what is the car’s acceleration?
d) After striking the barrier, how long does it take the car to come to a stop?
4
ID: A
Exam 1--PHYS 201--F15
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
B
B
A
B
C
A
B
C
B
B
B
C
A
C
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
DIF:
REF:
REF:
REF:
F15-4M
F15
F15
F15-4M
F15-4M
F15-4M
F15
F15
F15
F15
F15-4M
F15-4M
F15
F15
F15-4M
PROBLEM
16. ANS:
,
PTS: 1
17. ANS:
.
PTS: 1
18. ANS:
.
Blue is the original fxn; red is 1st derivative
PTS: 1
1