Question 1

A vector  has components Ax y < 0, the angle that this vector makes with the positive x-axis must be in the range

Accepted Answer

A)  0° to 90°. 
B)  90° to 180°. 
C)  180° to 270°. 
D)  270° to 360°.

Question 2

-Refer to Figure 3-2. The components of vectors A and B are

Accepted Answer

A)  Ax = A sin90° Bx = B cos60° Ay = A cos90° By = B sin60°. 
B)  Ax = A cos90° Bx = B sin60° Ay = A sin90° By = B cos60°. 
C)  Ax = 0 Bx = B sin 30° Ay = 0 By = B cos30°. 
D)  Ax = A sin 90° Bx = B sin 30° Ay = 0 By = B cos30°. 
E)  Ax = A cos0° Bx = -B cos60° Ay = A cos90° By = B cos30°.

Question 3

A particle initially moving with a velocity 2 m/s experiences a constant acceleration of 1 m/s² in the +x-direction and -2 m/s² in the y-direction. What are the velocity components of the particle after 4 s?

Accepted Answer

The answer of A particle initially moving with a velocity...

Question 4

Holly intends to swim to a point straight across a 100. m wide river that flows at 1.2 m/s. If she can swim 2.5 m/s in still water, at what angle must she swim upstream to achieve her goal?

Accepted Answer

The answer of Holly intends to swim to a point...

Question 5

If I walk 8.0 meters in a straight line and then walk 5.0 meters in another straight line, the total displacement cannot have a magnitude of

Accepted Answer

A)  3. m. 
B)  2. m. 
C)  13. m. 
D)  5. m. 
E)  8. m.

Question 6

A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory? (Neglect air friction.)

Accepted Answer

A)  g upward 
B)  g sin(45°) upward 
C)  g downward 
D)  zero 
E)  g cos(45°) downward

Question 7

Consider a velocity with components 36. m/s Westward and 22. m/s Northward. What is its magnitude and direction?

Accepted Answer

The answer of Consider a velocity with components 36. m/s...

Question 8

Neglecting the effect of air friction, at what angle should a cannon be raised to achieve the greatest HEIGHT?

Accepted Answer

The answer of Neglecting the effect of air friction, at...

Question 9

A marble moving 1.48 m/s rolls off the top edge of a 125. cm high table.
(a) How far from the base of the table did it strike the floor? 
(b) How long was it "in flight"?

Accepted Answer

The answer of A marble moving 1.48 m/s rolls off...

Question 10

A has components Ax > 0, and Ay > 0, the angle that this vector makes with the positive x-axis must be in the range

Accepted Answer

A)  0° to 90°. 
B)  90° to 180°. 
C)  180° to 270°. 
D)  270° to 360°.

Question 11

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 300 m. How fast can she swim in still water?

Accepted Answer

A)  1.83 m/s 
B)  1.42 m/s 
C)  0.50 m/s 
D)  1.24 m/s 
E)  0.25 m/s

Question 12

A 960. m wide river flows at 16. m/s as shown in Figure 3-8. Alice and John have a race in identical boats which travel 20. m/s in still water. Alice leaves point A and steers so that she goes straight to point B directly across and then back to A. John steers up to point C (960. m upstream) and then returns to A. Figure 3-8
  
(a) Which person arrived back at A first?
(b) How much sooner did the winner arrive back at A?

Accepted Answer

The answer of A 960. m wide river flows at...

Question 13

You toss a ball to your friend. When the ball reaches its maximum altitude, its velocity is

Accepted Answer

A)  zero. 
B)  horizontal. 
C)  9.8 m/s2. 
D)  9.8 m/s. 
E)  vertical.

Question 14

A car and a truck are traveling in the same direction along a straight section of highway. The car is moving at 55. mph and the truck is moving 45. mph. What is the velocity of the car relative to the truck?

Accepted Answer

The answer of A car and a truck are traveling...

Question 15

A child drops a toy at rest from a point 4.0 m above the ground at the same instant her friend throws a ball upward at 6 m/s from a point 1.0 m above the ground. At what distance above the ground do the ball and the toy cross paths?

Accepted Answer

The answer of A child drops a toy at rest...

Question 16

A car travels east with a constant velocity. The magnitude of the acceleration of the car is

Accepted Answer

A)  zero. 
B)  decreasing. 
C)  increasing. 
D)  constant non-zero. 
E)  None of the other choices is correct.

Question 17

When air resistance is a factor, maximum range is achieved when the projection angle is

Accepted Answer

A)  less than 45.° 
B)  90.° 
C)  45.° 
D)  greater than 45.° but not 90.°

Question 18

A train traveling at 50. km/h approaches another train moving toward the first at 90. km/h. If they are 35. km apart (on a straight track) how long does it take before they meet?

Accepted Answer

A)  45. min 
B)  25. min 
C)  55. min 
D)  30. min 
E)  15. min

Question 19

The sum of two vectors has the greatest magnitude when the angle between these two vectors is

Accepted Answer

The answer of The sum of two vectors has the...

Question 20

A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

Accepted Answer

A)  12.6 m/s 
B)  8.5 m/s 
C)  18.1 m/s 
D)  15.6 m/s 
E)  20.0 m/s

Exam 3: Motion in Two Dimensions

A vector has components A_x < 0, and A_y < 0, the angle that this vector makes with the positive x-axis must be in the range

-Refer to Figure 3-2. The components of vectors A and B are

A particle initially moving with a velocity 2 m/s experiences a constant acceleration of 1 m/s² in the +x-direction and -2 m/s² in the y-direction. What are the velocity components of the particle after 4 s?

Holly intends to swim to a point straight across a 100. m wide river that flows at 1.2 m/s. If she can swim 2.5 m/s in still water, at what angle must she swim upstream to achieve her goal?

If I walk 8.0 meters in a straight line and then walk 5.0 meters in another straight line, the total displacement cannot have a magnitude of

A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory? (Neglect air friction.)

Consider a velocity with components 36. m/s Westward and 22. m/s Northward. What is its magnitude and direction?

Neglecting the effect of air friction, at what angle should a cannon be raised to achieve the greatest HEIGHT?

A marble moving 1.48 m/s rolls off the top edge of a 125. cm high table. (a) How far from the base of the table did it strike the floor? (b) How long was it "in flight"?

A vectorhas components A_x > 0, and A_y > 0, the angle that this vector makes with the positive x-axis must be in the range

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 300 m. How fast can she swim in still water?

You toss a ball to your friend. When the ball reaches its maximum altitude, its velocity is

A car and a truck are traveling in the same direction along a straight section of highway. The car is moving at 55. mph and the truck is moving 45. mph. What is the velocity of the car relative to the truck?

A child drops a toy at rest from a point 4.0 m above the ground at the same instant her friend throws a ball upward at 6 m/s from a point 1.0 m above the ground. At what distance above the ground do the ball and the toy cross paths?

A car travels east with a constant velocity. The magnitude of the acceleration of the car is

When air resistance is a factor, maximum range is achieved when the projection angle is

A train traveling at 50. km/h approaches another train moving toward the first at 90. km/h. If they are 35. km apart (on a straight track) how long does it take before they meet?

The sum of two vectors has the greatest magnitude when the angle between these two vectors is

A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

Exam 3: Motion in Two Dimensions

A vector has components Ax < 0, and Ay < 0, the angle that this vector makes with the positive x-axis must be in the range

-Refer to Figure 3-2. The components of vectors A and B are

A particle initially moving with a velocity 2 m/s experiences a constant acceleration of 1 m/s2 in the +x-direction and -2 m/s2 in the y-direction. What are the velocity components of the particle after 4 s?

Holly intends to swim to a point straight across a 100. m wide river that flows at 1.2 m/s. If she can swim 2.5 m/s in still water, at what angle must she swim upstream to achieve her goal?

If I walk 8.0 meters in a straight line and then walk 5.0 meters in another straight line, the total displacement cannot have a magnitude of

A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory? (Neglect air friction.)

Consider a velocity with components 36. m/s Westward and 22. m/s Northward. What is its magnitude and direction?

Neglecting the effect of air friction, at what angle should a cannon be raised to achieve the greatest HEIGHT?

A marble moving 1.48 m/s rolls off the top edge of a 125. cm high table. (a) How far from the base of the table did it strike the floor? (b) How long was it "in flight"?

A vectorhas components Ax > 0, and Ay > 0, the angle that this vector makes with the positive x-axis must be in the range

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 300 m. How fast can she swim in still water?

You toss a ball to your friend. When the ball reaches its maximum altitude, its velocity is

A car and a truck are traveling in the same direction along a straight section of highway. The car is moving at 55. mph and the truck is moving 45. mph. What is the velocity of the car relative to the truck?

A child drops a toy at rest from a point 4.0 m above the ground at the same instant her friend throws a ball upward at 6 m/s from a point 1.0 m above the ground. At what distance above the ground do the ball and the toy cross paths?

A car travels east with a constant velocity. The magnitude of the acceleration of the car is

When air resistance is a factor, maximum range is achieved when the projection angle is

A train traveling at 50. km/h approaches another train moving toward the first at 90. km/h. If they are 35. km apart (on a straight track) how long does it take before they meet?

The sum of two vectors has the greatest magnitude when the angle between these two vectors is

A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

A vector has components A_x < 0, and A_y < 0, the angle that this vector makes with the positive x-axis must be in the range

A particle initially moving with a velocity 2 m/s experiences a constant acceleration of 1 m/s² in the +x-direction and -2 m/s² in the y-direction. What are the velocity components of the particle after 4 s?

A vectorhas components A_x > 0, and A_y > 0, the angle that this vector makes with the positive x-axis must be in the range