Question 1

The position of an object as a function of time is given in meters by x = (at + bt2) + (ct). What is its velocity as a function of time?

Accepted Answer

A)  v = (a + b) + (c) 
B)  v = (a + 2b) + (c) 
C)  v = (a + 2bt) + (c) 
D)  v = b 
E)  v = 2b 
A)  v = (a + b) + (c) 
B)  v = (a + 2b) + (c) 
C)  v = (a + 2bt) + (c) 
D)  v = b 
E)  v = 2b

Question 2

A bullet shot horizontally from a gun:

Accepted Answer

A)  strikes the ground much later than one dropped vertically from the same point at the same instant 
B)  never strikes the ground 
C)  strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D)  travels in a straight line 
E)  strikes the ground much sooner than one dropped from the same point at the same instant 
A)  strikes the ground much later than one dropped vertically from the same point at the same instant 
B)  never strikes the ground 
C)  strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D)  travels in a straight line 
E)  strikes the ground much sooner than one dropped from the same point at the same instant

Question 3

An object, tied to a string, moves in a circle at constant speed on a horizontal surface as shown. The direction of the displacement of this object, as it travels from W to X is:

Accepted Answer

A)  $\leftarrow$ 
B)  $\downarrow$ 
C)  $\uparrow$ 
D)    
E)    
A)  $\leftarrow$ 
B)  $\downarrow$ 
C)  $\uparrow$ 
D)    
E)

Question 4

An airplane makes a gradual 90 $\degree$turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is:

Accepted Answer

A)  0 m/s2 
B)  40 m/s2 
C)  20 m/s2 
D)  14 m/s2 
E)  10 m/s2 
A)  0 m/s2 
B)  40 m/s2 
C)  20 m/s2 
D)  14 m/s2 
E)  10 m/s2

Question 5

From your window you can see a high-rise building several blocks away. You check the map and see that the building is 560 m away from you in a straight line, in a direction 30° south of east. However, the roads are all east-west and north-south. If you want to walk from your house to the building, how far in each direction do you have to walk?

Accepted Answer

A)  480 m east and 280 m south 
B)  280 m east and 480 m south 
C)  280 m east and 280 m south 
D)  480 m east and 50 m south 
E)  cannot be determined without looking at the streets on the map 
A)  480 m east and 280 m south 
B)  280 m east and 480 m south 
C)  280 m east and 280 m south 
D)  480 m east and 50 m south 
E)  cannot be determined without looking at the streets on the map

Question 6

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. Its acceleration at the top of the circle is:

Accepted Answer

A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, down 
D)  32 m/s2, up 
E)  32 m/s2, down 
A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, down 
D)  32 m/s2, up 
E)  32 m/s2, down

Question 7

An airplane is flying north at 500 km/h. It makes a gradual 180 $\degree$ turn at constant speed, changing its direction of travel from north through east to south. The process takes 40 s. The average acceleration of the plane for this turn is:

Accepted Answer

A)  12.5 km/h.s, north 
B)  12.5 km/h.s, east 
C)  12.5 km/h.s, south 
D)  25 km/h.s, north 
E)  25 km/h.s, south 
A)  12.5 km/h.s, north 
B)  12.5 km/h.s, east 
C)  12.5 km/h.s, south 
D)  25 km/h.s, north 
E)  25 km/h.s, south

Question 8

A girl wishes to swim across a river to a point directly opposite as shown. She can swim at 2 m/s in still water and the river is flowing at 1 m/s. At what angle $\theta$ with respect to the line joining the starting and finishing points should she swim?

Accepted Answer

A)  30 $\degree$ 
B)  45 $\degree$ 
C)  60 $\degree$ 
D)  63 $\degree$ 
E)  90 $\degree$ 
A)  30 $\degree$ 
B)  45 $\degree$ 
C)  60 $\degree$ 
D)  63 $\degree$ 
E)  90 $\degree$

Question 9

A boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point. He can row at 2 m/s in still water and the river is flowing at 1 m/s. At what angle $\theta$  should he point the bow (front) of his boat?

Accepted Answer

A)  30 $\degree$ 
B)  45 $\degree$ 
C)  60 $\degree$ 
D)  63 $\degree$ 
E)  90 $\degree$ 
A)  30 $\degree$ 
B)  45 $\degree$ 
C)  60 $\degree$ 
D)  63 $\degree$ 
E)  90 $\degree$

Question 10

An object is at rest at x = 0 m, y = 0 m. It accelerates at a rate of (−3.2 m/s2) + (8.6 m/s2). After accelerating for 4.7 seconds its coordinates are:

Accepted Answer

A)  x = −15 m, y = 40 m 
B)  x = −35 m, y = 95 m 
C)  x = −24 m, y = 170 m 
D)  x = −70 m, y = 190 m 
E)  x = −48 m, y = 340 m 
A)  x = −15 m, y = 40 m 
B)  x = −35 m, y = 95 m 
C)  x = −24 m, y = 170 m 
D)  x = −70 m, y = 190 m 
E)  x = −48 m, y = 340 m

Question 11

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. The acceleration at the bottom of the circle is:

Accepted Answer

A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, up 
D)  32 m/s2, up 
E)  32 m/s2, down 
A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, up 
D)  32 m/s2, up 
E)  32 m/s2, down

Question 12

A large cannon is fired from ground level over level ground at an angle of 30 $\degree$ above the horizontal. The muzzle speed is 980 m/s. Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?

Accepted Answer

A)  4.3 km 
B)  8.5 km 
C)  43 km 
D)  85 km 
E)  170 km 
A)  4.3 km 
B)  8.5 km 
C)  43 km 
D)  85 km 
E)  170 km

Question 13

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m. If it makes two complete revolutions each second, its acceleration is:

Accepted Answer

A)  0.24 m/s2 
B)  2.4 m/s2 
C)  24 m/s2 
D)  240 m/s2 
E)  2400 m/s2 
A)  0.24 m/s2 
B)  2.4 m/s2 
C)  24 m/s2 
D)  240 m/s2 
E)  2400 m/s2

Question 14

Two projectiles are in flight at the same time. The acceleration of one relative to the other:

Accepted Answer

A)  is always 9.8 m/s2 
B)  can be as large as 19.6 m/s2 
C)  can be horizontal 
D)  is zero 
E)  none of these 
A)  is always 9.8 m/s2 
B)  can be as large as 19.6 m/s2 
C)  can be horizontal 
D)  is zero 
E)  none of these

Question 15

A toy racing car moves with constant speed around the circle shown below. When it is at point A its coordinates are x = 0, y = 3m and its velocity is (6 m/s). When it is at point B its velocity and acceleration are:

Accepted Answer

A)  −(6 m/s) and (12 m/s2), respectively 
B)  (6 m/s) and −(12 m/s2), respectively 
C)  (6 m/s) and (12 m/s2), respectively 
D)  (6 m/s) and (10 m/s2), respectively 
E)  (6 m/s) and 0 m/s2, respectively 
A)  −(6 m/s) and (12 m/s2), respectively 
B)  (6 m/s) and −(12 m/s2), respectively 
C)  (6 m/s) and (12 m/s2), respectively 
D)  (6 m/s) and (10 m/s2), respectively 
E)  (6 m/s) and 0 m/s2, respectively

Question 16

Sally starts from home, walks 300 m east and then 500 m south, and arrives at her school. How far, in a straight line, is Sally's school from her home?

Accepted Answer

A)  300 m 
B)  500 m 
C)  580 m 
D)  640 m 
E)  800 m 
A)  300 m 
B)  500 m 
C)  580 m 
D)  640 m 
E)  800 m

Exam 4: Motion in Two and Three Dimensions

The position of an object as a function of time is given in meters by x = (at + bt2) + (ct). What is its velocity as a function of time?

A bullet shot horizontally from a gun:

An object, tied to a string, moves in a circle at constant speed on a horizontal surface as shown. The direction of the displacement of this object, as it travels from W to X is:

An airplane makes a gradual 90 °\degree° turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is:

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. Its acceleration at the top of the circle is:

An airplane is flying north at 500 km/h. It makes a gradual 180 °\degree° turn at constant speed, changing its direction of travel from north through east to south. The process takes 40 s. The average acceleration of the plane for this turn is:

A girl wishes to swim across a river to a point directly opposite as shown. She can swim at 2 m/s in still water and the river is flowing at 1 m/s. At what angle θ\thetaθ with respect to the line joining the starting and finishing points should she swim?

A boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point. He can row at 2 m/s in still water and the river is flowing at 1 m/s. At what angle θ\thetaθ should he point the bow (front) of his boat?

An object is at rest at x = 0 m, y = 0 m. It accelerates at a rate of (−3.2 m/s2) + (8.6 m/s2). After accelerating for 4.7 seconds its coordinates are:

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. The acceleration at the bottom of the circle is:

A large cannon is fired from ground level over level ground at an angle of 30 °\degree° above the horizontal. The muzzle speed is 980 m/s. Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m. If it makes two complete revolutions each second, its acceleration is:

Two projectiles are in flight at the same time. The acceleration of one relative to the other:

A toy racing car moves with constant speed around the circle shown below. When it is at point A its coordinates are x = 0, y = 3m and its velocity is (6 m/s). When it is at point B its velocity and acceleration are:

Sally starts from home, walks 300 m east and then 500 m south, and arrives at her school. How far, in a straight line, is Sally's school from her home?

Measurement

Motion Along a Straight Line

Vector

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

The position of an object as a function of time is given in meters by x = (at + bt²) + (ct). What is its velocity as a function of time?

An airplane makes a gradual 90 $\degree$ turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is:

An airplane is flying north at 500 km/h. It makes a gradual 180 $\degree$ turn at constant speed, changing its direction of travel from north through east to south. The process takes 40 s. The average acceleration of the plane for this turn is:

An object is at rest at x = 0 m, y = 0 m. It accelerates at a rate of (−3.2 m/s²) + (8.6 m/s²). After accelerating for 4.7 seconds its coordinates are:

A large cannon is fired from ground level over level ground at an angle of 30 $\degree$ above the horizontal. The muzzle speed is 980 m/s. Neglecting air resistance, the projectile will travel what horizontal distance before striking the ground?