Multiple Choice Review 1
A vector points 45° north of east. Which quadrant would this vector be in?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
A. Quadrant I
Which statement best describes a vector quantity?
A. It has only magnitude
B. It has only direction
C. It has magnitude and direction
D. It can only represent motion
C. It has magnitude and direction
Which 2D motion example best fits the definition of a projectile?
A. A clock’s pendulum
B. A car driving on a flat road
C. A person walking in a straight line
D. A ball thrown upward at an angle
D. A ball thrown upward at an angle
Vector A has a magnitude of 15 m pointing east, and vector B has a magnitude of 10 m pointing west. Find the magnitude and direction of the resultant vector.
5 meters east
A projectile is thrown at an angle of 30o North of East at an initial velocity of 25.0 m/s. At the highest point of the projectile's path, what is its vertical velocity?
0 m/s
The vertical acceleration of any projectile (ignoring air resistance) is:
A. Zero
B. Constant and downward (-9.80 m/s2)
C. Constant and upward (+9.80 m/s2)
D. Changing depending on speed
B. Constant and downward (-9.80 m/s2)
A vector points 30° north of west. Which quadrant would this vector be in?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
B. Quadrant II
A vector has a negative x-component and a positive y-component. Which quadrant will the vector be in?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
B. Quadrant II
A student walks 250 meters north on their way home from school, then takes a right turn and travels 355 meters east. What is the magnitude of their displacement?
430 m
A projectile has a velocity of 20.0 m/s at an angle of 45° above the horizontal. Find the horizontal and vertical components of the velocity.
x = 14.1 m/s
y = 14.1 m/s
What does “independence of motion” mean in projectile motion?
A. Horizontal motion determines vertical motion
B. Vertical motion determines horizontal motion
C. Horizontal and vertical motion affect each other equally
D. Horizontal and vertical motion do not affect each other
D. Horizontal and vertical motion do not affect each other
When adding vectors analytically, what is the FIRST step you must do?
A. Add the magnitudes
B. Multiply by gravity
C. Break each vector into x and y components
D. Find the square root of the components
C. Break each vector into x and y components
A ball is thrown at an angle with initial velocity, v0. Which trigonometric function would allow you to solve for the x component of that velocity?
A. Cosine
B. Sine
C. Tangent
D. None of the Above
A. Cosine
Vector G has a magnitude of 10.0 m and makes a 30° angle with the positive x-axis. Find the x- and y-components of the vector.
x = 8.66 m
y = 5.00 m
A soccer ball is kicked at an angle of 30° above the horizontal with an initial velocity of 20.0 m/s. Find the maximum height it reaches.
5.10 m
A projectile is launched at 45°. Compared to a launch at 20° (with the same initial velocity), the vertical component of the 45° projectile's velocity will be:
A. Equal to the 20° launch
B. Greater than the 20° launch
C. Less than the 20° launch
D. Cannot be Determined
B. Greater than the 20° launch
A projectile is launched horizontally from a table. Which statement is true?
A. It has vertical acceleration and horizontal acceleration
B. It has vertical acceleration but no horizontal acceleration
C. It has no acceleration at all
D. It accelerates more horizontally than vertically
B. It has vertical acceleration but no horizontal acceleration
Which statement is true about vertical velocity at a projectile’s highest point?
A. It is positive
B. It is negative
C. It is zero
D. It is equal to the horizontal velocity
C. It is zero
Graph the following three vectors on a coordinate plane using the head to tail method:
Vector A | 4.0 cm at 45o North of East
Vector B | 2.5 cm at 45o South of East
Vector C | 7.1 cm at 60o South of West
Check Drawing
A projectile is launched with an initial velocity of 25.0 m/s at an angle of 53° above the horizontal. Determine the time it takes for the projectile to reach its highest point.
2.04 seconds
A projectile is launched upward at 55°. At the highest point, what can be said about its velocity?
A. Both components are nonzero
B. Horizontal velocity is zero but vertical velocity is nonzero
C. Vertical velocity is zero but horizontal velocity is nonzero
D. Both components are zero
C. Vertical velocity is zero but horizontal velocity is nonzero
A projectile is launched at 40° and has a time of flight of 6.2 s. If another projectile is launched at the same speed but at 50°, which statement must be true?
A. The 50° projectile has a longer hang time
B. The 50° projectile has the same hang time
C. The 50° projectile has a shorter hang time
D. The time of flight cannot be compared without mass
A. The 50° projectile has a longer hang time
Which best explains why the horizontal velocity of a projectile remains constant?
A. Gravity does not act horizontally
B. It is always launched from ground level
C. The mass cancels horizontal forces
D. The vertical acceleration balances the horizontal forces
A. Gravity does not act horizontally
Two vectors are added together using the analytical method.
Vector A | 12.5 m at 25.0o North of East
Vector B | 18.0 m at 10.0o North of East
What is the magnitude and direction of the resulting vector?
30.2 m at 16.1o North of East
A ball is thrown from a 50.0 m high cliff at 15.0 m/s horizontally. Simultaneously, another ball is dropped from the same height. Which ball hits the ground first, and how far from the cliff does the thrown ball land?
They hit the ground at the same time.
47.9 meters away