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Projectiles

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

A vector is a quantity that has
a.
magnitude and time.
b.
time and direction.
c.
magnitude and direction.
 

 2. 

A scalar is a quantity that has
a.
direction.
b.
magnitude.
c.
time.
d.
color.
 

 3. 

When representing velocity as a vector,
a.
the direction of the arrow shows the direction of motion.
b.
the length of the arrow represents the speed.
c.
the length of the arrow is drawn to a suitable scale.
d.
all of the above
e.
none of the above
 

 4. 

In order to find the components of a vector, you should
a.
draw the vector with correct magnitude and orientation.
b.
measure the sides of the rectangle.
c.
draw a rectangle so that the vector is the diagonal.
d.
all of the above
 

 5. 

Which of the following would NOT be considered a projectile?
a.
A cannonball thrown straight up
b.
A cannonball rolling down a slope
c.
A cannonball rolling off the edge of a table
d.
A cannonball thrown through the air
e.
All of the above are projectiles.
 

 6. 

The horizontal component of a projectile's velocity is independent of
a.
the range of the projectile.
b.
time.
c.
the vertical component of its velocity.
 

 7. 

In the absence of air friction, the vertical component of a projectile's velocity doesn't change as the projectile moves.
a.
Always false
b.
Always true
c.
Sometimes true
 

 8. 

In the absence of air friction, the horizontal component of a projectile's velocity doesn't change as the projectile moves.
a.
Sometimes true
b.
Always true
c.
Always false
 

 9. 

At the instant a ball is thrown horizontally with a large force, an identical ball is dropped from the same height. Which ball hits the ground first?
a.
Neither. They both hit the ground at the same time.
b.
The dropped ball
c.
The horizontally thrown ball
 

 10. 

In the absence of air resistance, the angle at which a thrown ball will go the farthest is
a.
15 degrees.
b.
30 degrees.
c.
45 degrees.
d.
60 degrees.
e.
75 degrees.
 

 11. 

A ball thrown in the air will never go as far as physics ideally would predict because
a.
one can never throw the ball fast enough.
b.
gravity is acting.
c.
air friction slows the ball.
d.
ideally the ball would never land.
e.
all of the above
 

 12. 

A projectile launched horizontally hits the ground in 0.8 seconds. If it had been launched with a much higher speed in the same direction, it would have hit the ground (neglecting Earth's curvature and air resistance) in
a.
more than 0.8 s.
b.
0.8 s.
c.
less than 0.8 s.
 

 13. 

A projectile is fired horizontally in a vacuum. The projectile maintains its horizontal component of speed because it
a.
has no vertical component of speed to begin with.
b.
is not acted on by any forces.
c.
the net force acting on it is zero.
d.
is not acted on by any horizontal forces.
e.
none of the above
 

 14. 

An object is dropped and falls freely to the ground with an acceleration of g. If it is thrown upward at an angle instead, its acceleration would be
a.
0.
b.
larger than g.
c.
g upward.
d.
g downward.
e.
none of the above
 

 15. 

A cannonball is launched horizontally from a tower. If the cannon has a barrel velocity of 60 m/s, where will the cannonball be 1 second later? (Neglect air resistance.)
a.
6 m downrange
b.
30 m downrange
c.
60 m downrange
d.
300 m downrange
e.
none of the above
 

 16. 

After a rock that is thrown straight up reaches the top of its path and is starting to fall back down, its acceleration is (neglecting air resistance)
a.
less than when it was at the top of its path.
b.
greater than when it was at the top of its path.
c.
the same as when it was at the top of its path.
 

 17. 

An airplane flying into a head wind loses ground speed, and an airplane flying with the wind gains ground speed. If an airplane flies at right angles to the wind, then ground speed is
a.
more.
b.
unchanged.
c.
less.
 

 18. 

Which best approximates the resultant of a pair of 6-unit vectors at right angles to each other?
a.
0 units.
b.
6 units.
c.
8 units.
d.
12 units.
 

 19. 

What is the resultant of a 3-unit vector and 4-unit vector at right angles to each other?
a.
1 unit.
b.
5 units.
c.
7 units.
d.
none of the above
 

 20. 

When in orbit, a satellite such as the space shuttle is
a.
simply a projectile.
b.
in non-accelerated motion.
c.
free from Earth's gravity.
 

 21. 

Suppose a small plane can fly at 170 km/h relative to the surrounding air. Suppose also that there is a 60 km/h tailwind. How fast does the plane's shadow move across the ground?
a.
5 km/h
b.
60 km/h
c.
110 km/h
d.
170 km/h
e.
230 km/h
 

 22. 

At the instant a ball is thrown horizontally with a large force, an identical ball is dropped from the same height. Which ball hits the ground first?
a.
Neither—they both hit the ground at the same time.
b.
The horizontally thrown ball
c.
The dropped ball
 

 23. 

A cannonball is fired at some angle into the air. In the first second it moves 5 meters horizontally. Assuming it doesn't hit the ground and air resistance is negligible, how far does it move horizontally in the next second?
a.
More than 5 m
b.
Less than 5 m
c.
5 m
d.
Not enough information.
 

 24. 

A ball is thrown straight upward at 10 m/s. Ideally (no air resistance), the ball will return to the thrower's hand with a speed of
a.
0 m/s.
b.
5 m/s.
c.
10 m/s.
d.
20 m/s.
e.
There is not enough information to say.
 

 25. 

A cannon with a barrel velocity of 140 m/s launches a cannonball horizontally from a tower. Neglecting air resistance, how far vertically will the cannonball have fallen after 4 seconds?
a.
80 m
b.
140 m
c.
560 m
d.
2240 m
e.
none of the above
 

True/False
Indicate whether the statement is true or false.
 

 26. 

A quantity that has both magnitude and direction is called a scalar.
 

 27. 

A quantity that has only magnitude is called a vector.
 

 28. 

The vector sum is called the resultant.
 

 29. 

The length of a vector represents its magnitude.
 

 30. 

The orientation of a vector shows its direction.
 

 31. 

When adding two vectors at right angles, the resultant of the vectors is the algebraic sum of the two vectors.  For example:  (2 + 2  = 4).
 

 32. 

A single vector can be replaced by two vectors in the x- and y-directions that are at right angles to each other. These two x and y vectors are called the resultants of the original vector.
 

 33. 

A ball will go the farthest if thrown almost horizontally.
 

 34. 

Any vector can be represented by two other vectors that are at right angles to each other.
 

 35. 

Mass is a vector quantity.
 

 36. 

Wind velocity can be represented as a vector quantity.
 

Essay  These Written Questions for your packet can be found at this linkVectors & Projectiles Practice Written Questions
 

 37. 

Briefly distinguish between vectors and scalars, giving examples of each.
 

 38. 

Use the parallelogram method and some graph paper to find the resultant of a 12-unit vector and a 16-unit vector that are at angles of 30 degrees, 90 degrees, 135 degrees, and 180 degrees from each other.
 

 39. 

On a piece of graph paper, draw lines 17 cm long at angles of 0 degrees, 30 degrees,
90 degrees, and 135 degrees from the x-axis. Find the x- and y- components of each line.
 

 40. 

A plane flies north at 230 km/h. At the same time, there is wind of 80 km/h from the west. Use both a scaled diagram and the Pythagorean Theorem to find the resultant velocity of the plane.
 

Problem
 

 41. 

A motorboat is driven across a river at 3.0 km/h at right angles to a current that is flowing at 10.0 km/h. What is the resulting speed of the motorboat?
 

 42. 

A package falls out of a helicopter that is traveling horizontally at 70 m/s. It falls into the water below 8.0 seconds later. Assuming no air resistance, what is the horizontal distance it travels while falling?
 

 43. 

Kyle throws a ball horizontally from the top of a building that is 5.0 m high. He hopes the ball will reach a swimming pool that is at the bottom of the building, 12.0 m horizontally from the edge the building. If the ball is to reach the pool, with what initial speed must Kyle throw it with?
 

 44. 

A ball is thrown horizontally from the top of a tall cliff. Neglecting air drag, how high is the cliff if it takes 2.0 seconds to fall?
 



 
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