Physics Module 3 Test

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Questions 1-7 refer to the figure below.

Question 1

Which vector has the largest magnitude?

Question 2

Which vector has the largest angle?

Question 3

If an airplane is traveling southeast, which vector would be most likely to represent its velocity?

Question 4

If A is the acceleration of an object and B is its velocity, would the object be speeding up or slowing down?

Question 5

Graphically add vectors A and C. Describe the resultant vector (its direction and roughly how its length compares to A and C).

Question 6

Draw the vector that would represent −C. Describe the vector you drew.

Question 7

Graphically subtract vector C from vector B. Describe the resultant vector.

Question 8

Why do we graphically add and subtract vectors when we can do so analytically?

Question 9 refers to the figure below.

An airplane is flying in a northeasterly wind as shown below:

Question 9

Draw the vector that represents the velocity which the pilot should maintain so that the airplane can arrive at the airport due east of its present location. Describe the vector you drew.

Question 10

Vector A has a magnitude of 3.2 m and a direction of 15 degrees. What are its x- and y-components?

x-component y-component

Question 11

The velocity vector of a bike has an x-component of 1.7 m/sec and a y-component of −1.1 m/sec. What are the magnitude and direction of the velocity vector?

Magnitude Direction

Question 12

Vector A has a magnitude of 31.1 m at an angle of 60.0 degrees, and vector B has a magnitude of 11.4 m at an angle of 290.0 degrees. What is the sum of these two vectors?

Question 13

A hiker travels 1.8 miles with a heading of 150.0 degrees and then 3.2 miles at a heading of 350.0 degrees. What is the hiker's final displacement relative to his starting point?

Question 14

A boat travels across a wide river. If the boat can travel at a speed of 15 mph and its pilot heads in a direction of 130.0 degrees, while the current's velocity is 2.1 mph at a heading of 200.0 degrees, what will be the final velocity of the boat?

Question 15

A plane heads due north (θ = 90.0°) at a speed of 200.0 mph. If the wind's velocity is southeast (315°) at 15.0 mph, what will be the actual velocity of the plane?