# Physics - Vectors and Projectile Motion

– A vector quantity always has a direction associated with it.
– Vectors can be represented by an arrow on a scaled diagram; the length of the arrow represents the vector’s magnitude and the direction it points represents the vector’s direction.
Which of the following statements are true of scalars and vectors?
– displacement
– average velocity
– instantaneous velocity
– acceleration
Which of the following quantities are vectors?
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– 20 meters, west
– 35 mi/hr, south
– 3.5 m/s/s, south
– (-3.5) m/s/s
Numerical values and direction are stated for a variety of quantities. Which of these statements represent a vector description?
– If Vectors A and B are added at right angles to each other, then one can be sure that the resultant will have a magnitude that is greater than the magnitudes of either one of the individual vectors A and B.
– If vectors A and B are added at right angles to each other, then one can be sure that the resultant will have a magnitude that is less than the arithmetic sum of the magnitudes of A and B.
Which of the following statements are true of vector addition, vector subtraction, and vector addition diagrams?
– A free falling object
– An object upon which the only significant force is the force of gravity
– A falling feather in a vacuum chamber
– A falling feather in a falling vacuum chamber
Which of the following descriptions of moving objects accurately portray a projectile?
– A projectile is a free-falling object
– A projectile experiences negligible or no air resistance
– A projectile must be accelerating in the downward direction
– A projectile does not have to have horizontal motion
– [Maybe] A projectile does not need to be “falling”
Which of the following statements are true of projectiles?
– A projectile with a horizontal component of motion will have a constant horizontal velocity.
– The horizontal velocity of a projectile is unaffected by the vertical velocity; these two components of motion are independent of each other.
– The horizontal displacement of a projectile is dependent upon the time of flight and the initial horizontal velocity.
– Consider a projectile launched from ground level at a fixed launch angles and a variable launch speed and landing at ground level. The horizontal displacement (i.e. the range) of the projectile will always increase as the launch speed is increased.
Which of the following statements are true of the horizontal motion projectiles?
– The vertical component of a projectile’s velocity is changing.
– The vertical component of a projectile’s velocity is changing at a constant rate.
– A projectile with an downward of motion will have a downward component of acceleration.
– The magnitude of the vertical velocity of a projectile changes 9.8 m/s each second.
– The vertical velocity of a projectile is unaffected by the horizontal velocity; these two components of motion are independent of each other.
– The vertical velocity of a projectile is unaffected by the horizontal velocity; these two components of motion are independent of each other.
– The peak height to which a projectile rises above the launch location is dependent upon the initial vertical velocity.
– Consider a projectile launched from ground level at a fixed launch speed and a variable angle and landing at ground level. The vertical displacement of the projectile during the first half of the trajectory (i.e., the peak height) will always increase as the angle of launch is increased from 0 degrees to 90 degrees.
– Consider a projectile launched from ground level at a fixed launch angle and a variable launch speed and landing at ground level. The vertical displacement of the projectile during the first half of its trajectory (i.e., the peak height) will always increase as the launch speed is increased.
Which of the following statements are true of the vertical motion of projectiles?
– The time that a projectile is in the air is dependent upon the vertical component of the initial velocity.
– For a projectile which lands at the same height that is projected from, the time to rise to the peak is equal to the time to fall from its peak to the original height.
– For the same upward launch angles, projectiles will stay in the air longer if the initial velocity is increased.
Which of the following statements are true of the time of flight for a projectile?
2 and 14
If two displacement vectors of 6 meters and 8 meters (with varying directions) are added together, then the resultant could range anywhere between ____ meters and ____ meters.
the resultant
Three vectors are added following the rules of vector addition. A fourth vector is drawn from the tail of the first vector to the head of the last ector. This fourth vector is referred to as ____.
False
The order in which vectors is added will affect the end result
E
Vector A is directed northward and vector B is directed eastward. Which of the following vector diagrams best represent the addition of vectors A and B and the subsequent resultant?
head of B, tail of A
When adding vector B to vector A geometrically (or geographically) using the head to tail method, the resultant is drawn from ____ to the ____.
A + C = B
Which one of the following vector addition equations is shown in Diagram 1?
A + B = C
Which of the following vector addition equations is shown in Diagram 2?
C + B = A
Which of the following vector addition equations is shown in Diagram 3?
None of These
Which of the following vector addition equations is shown in Diagram 4?

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