Part – I (MC, 30)
Choose the correct answer for the following questions, note that only one answer is correct.
1. Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of the
angle?
A It would double.
B It would more than double.
C It would increase but be less than double.
D In different cases, it could do any of the above.
2. A strobe photograph of a car moving along a straight road shows the interval between each successive image to be
diminishing. If the direction of motion of the car is taken as positive, which of the following is/are negative?
A the speed of the car
B the average velocity of the car
C the average acceleration of the car
D all of the above
3. A train slowly climbs a 400-m mountain track which is at an angle of 8.0° with respect to the horizontal. How much
altitude does it gain?
A 55.7 m
B 200 m
C 60.7 m
D 396 m
E 400 m
4. An automobile driver puts on the brakes and decelerates from 35.0 m/s to zero in 11.0 s. What distance does the car
travel?
A 193 m
B 97 m
C 241 m
D 290 m
E 145 m
5. A strobe photograph shows equally-spaced images of a car moving along a straight road. If the time intervals between
images is constant, which of the following cannot be positive?
A the speed of the car
B the average velocity of the car
C the acceleration of the car
D the direction of motion of the car
6. A surveyor stands 100 m from the base of a building, and uses a transit to determine that the angle of elevation to the
building’s roof is 19.0°. If the transit height is 0.80 m, what is the height of the building?
A 94.6 m
B 95.4 m
C 35.2 m
D 34.4 m
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7. A bird, accelerating from rest at a constant rate, experiences a displacement of 22 m in 10 s. What is the average
velocity?
A 1.2 m/s
B 2.2 m/s
C 2.4 m/s
D 0 m/s
E 0.5 m/s
8. When we add a displacement vector to another displacement vector, the result is
A a velocity.
B an acceleration.
C another displacement.
D a scalar.
9. When we subtract a velocity vector from another velocity vector, the result is
A another velocity.
B an acceleration.
C a displacement.
D a scalar.
10. A vehicle designed to operate on a drag strip accelerates from zero to 34 m/s while undergoing a straight-line path
displacement of 48 m. What is the vehicle's acceleration if its value may be assumed to be constant?
A 9 m/s2
B 6.0 m/s2
C 12 m/s2
D 18 m/s2
E 24 m/s2
11. Jeff throws a ball straight up. For which situation is the vertical velocity zero?
A on the way up
B at the top
C on the way back down
D none of the above
12. Suppose the interior angles of a triangle are φ1, φ2, and φ3, with φ1 > φ2 > φ3. Which side of the triangle is the shortest?
A The side opposite φ .
B The side opposite φ2.
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C The side opposite φ3.
D More information is needed unless the triangle is a right triangle.
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13. Which type of quantity is characterized by both magnitude and direction?
A scalar
B vector
C trigonometric
D algebraic variable
14. A triangle has sides of length 7 cm and 11 cm. If the triangle is a right triangle, which of the following could be the
length of the third side, to the nearest centimeter?
A 11 cm
B 8 cm
C 16 cm
D 17 cm
E 7 cm
15. When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of
the vectors cannot be greater than
A 60°.
B 90°.
C 180°.
D No maximum exists.
16. A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and
measure it to be 190 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of
the top of the fountain. It is 55°. How high is the fountain?
A 25 m
B 53 m
C 86 m
D 43 m
E 48 m
17. In which of the following cases is the displacement's magnitude half the distance traveled?
A 10 steps east followed by 3 steps west
B 28 steps east followed by 14 steps west
C 6 steps east followed by 24 steps west
D 12 steps east followed by 4 steps west
E 5 steps east followed by 25 steps west
18. Vector
points north, and vector
points east. If
=
−
A north of east.
B south of east.
C north of west.
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, then vector
points
D south of west.
19. A ball is pushed with an initial velocity of 4.0 m/s. The ball rolls down a hill with a constant acceleration of 1.7 m/s2.
The ball reaches the bottom of the hill in 7.0 s. What is the ball's velocity at the bottom of the hill?
A 15 m/s
B 13 m/s
C 14 m/s
D 16 m/s
E 19 m/s
20. A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 2.4 m/s2. What is the
magnitude of the cart's displacement during the first 5.0 s of its motion?
A 35 m
B 85 m
C 55 m
D 11 m
E 17 m
21. An object is dropped from a height. Once it is moving, which of the following statements is true, at least at one point?
A Its velocity is more than its acceleration.
B Its velocity is less than its acceleration.
C Its velocity is the same as its acceleration.
D Its velocity is never equal to its acceleration.
22. Two students are working on the same constant-acceleration problem involving a car undergoing constant
acceleration, having started from rest and after a certain time having traveled a distance of 108 m. The students are to find
the average velocity. Both students are required to show their work and round any intermediate answers as well as the
final answer properly to 3 significant figures. Each rounded answer is to be used in the next step of calculation as they
proceed. For the final answer, Student A uses the formula vavg = (xf – xi)/(tf – ti) getting the result 7.26 m/s, and Student B
uses the formula vavg = (v0 + v)/2 getting the result 7.29 m/s. Assuming neither student makes a mistake, which student
has the better answer?
A Student A
B Student B
C Under significant figure rounding, both answers are equally as good.
D The described result cannot happen; this is physics after all.
23. Which of the following is not a vector quantity?
A mass
B acceleration
C displacement
D velocity
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24. Which of the following is an example of a vector quantity?
A velocity
B temperature
C volume
D mass
25. Vector
is 2 m long, and vector
is 5 m long. The length of the sum of the vectors must be
A 6 m.
B 7 m.
C 13 m.
D some value from 3 m to 7 m.
E 3 m.
26. A rock is rolled in the sand. It starts at 5.0 m/s, moves in a straight line for a distance of 6.0 m, and then stops. What is
the magnitude of the average acceleration?
A 2.1 m/s2
C 5.4 m/s2
B 4.2 m/s2
D 6.2 m/s2
27. A bird, accelerating from rest at a constant rate, experiences a displacement of 25 m in 12 s. What is its acceleration?
A 0.18 m/s2
B 0.35 m/s2
C 0.44 m/s2
D 0.26 m/s2
E 0.53 m/s2
28. If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?
A θ + φ = π rad
C θ – φ = π/2 rad
B θ + φ = 90°
Dθ=φ
29. A Cessna aircraft has a lift-off speed of 135 km/h. What minimum constant acceleration does this require if the
aircraft is to be airborne after a take-off run of 260 m?
A 2.70 m/s2
B 1.35 m/s2
C 3.38 m/s2
D 5.41 m/s2
E 2.03 m/s2
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30. Consider the cosine of any angle between 35° and 40°. If the angle were doubled, what would happen to the cosine of
the angle.
A It would halve.
B It would decrease to less than half its original value.
C It would decrease but be more than half its original value.
D In different cases, it could do any of the above.
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Answer Key
1. C
2. C
3. A
4. A
5. C
6. C
7. B
8. C
9. A
10. C
11. B
12. C
13. B
14. B
15. C
16. D
17. D
18. B
19. D
20. C
21. D
22. C
23. A
24. A
25. D
26. A
27. B
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28. B
29. A
30. B
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