Vector Addition
Relativity
Name that Variable!
Projectile Motion
100
Which of the following can best be described as a vector?
a) The speed of a snail
b) The time it takes to run a mile
c) Free fall acceleration
What is c) Free fall acceleration
100
A bicyclist is riding on a road next to a train. The train is traveling to the right at 38m/s (relative to the earth) and the bicyclist is traveling to the right at 12m/s (relative to the earth). The bike does not pass the train.
From the perspective of the bicyclist, what is the train's speed and direction?
What is 26 m/s to the right
100
The meaning of the following variable:
What is vertical displacement (height that projectile falls)
100
Rolyna is practicing her javelin throw. She throws a spear horizontally at 30 m/s toward a bulls-eye directly in front of her. The spear takes 0.28 seconds to reach the target.
How far is the target from her?
What is 8.4 m
200
Add the following vectors:
Vector A: 50 m/s South
Vector B: 30 m/s North
What is (-)20 m/s South
200
A motorcycle traveling on the highway at a speed of 120 km/h passes a car traveling at a speed of 90 km/h. From the point of view of a passenger on the car, what is the velocity of the motorcycle?
Bonus: Negative or Positive? Why?
What is 30 km/h
200
The meaning of the following variable: 
What is horizontal displacement (distance that projectile travels from East to West or West to East)
200
A one-eyed lion is out playing with his cubs. The lion decides to horizontally run off a 10-meter cliff with a speed of 12 m/s into some water. At the same time one of the cubs decide to follow, horizontally running off the same cliff with a speed of 4 m/s.
Which one hits the water first?
What is they both hit the water at the same time because they will fall at -9.81 m/s2 (they will land different differences from the cliff)
300
Looking at the diagram below, find a and b:
What is ...
a) 9.19 mi
b) 7.7 mi
300
A mosquito is trying to hover over you and wait for the perfect opportunity for a tasty snack. However, there is a constant gust of wind that is blowing 4 m/s to the east. In order for the mosquito to stay hovered over you with what speed does the mosquito need to be moving through the wind?
What is 4 m/s to the west
300
The meaning of the variable Viy in projectile motion problems
What is initial velocity in the y direction
300
Rolyna climbs to the top of a mountain and decides to throw a rock off of it. Rolyna finds the prettiest rock on the mountain ledge 40 meters above the ground, and throws it horizontally with a speed of 14 m/s.
How far from the base of the cliff does the rock hit the ground?
What is 40.6 m
400
Find θ from the diagram below:
What is 31 degrees
400
A plane travels with a velocity of 100 mi/hr North with respect to the air. Wind is blowing on the airplane. Rank from fastest to slowest for which outcome would allow for the plane to move the fastest, if you were looking at the plane from the ground. Wind traveling at:
a)10 mph N. b) 10 mph S. c) 10 mph W. d) 10 mph E.
What is A - C - D - B
400
The meaning of the variable Vix in projectile motion problems
What is initial velocity in the x direction (this will be the x direction velocity for the entirety of the projectile since it is constant!)
400
A rock is thrown with a velocity of 32 m/s at an angle of 30° above the horizontal. What is the initial velocity of the rock in the x & y direction?
What is...
vx =27.71 m/s
viy = 16 m/s
500
The answer to adding vectors A + B + C when...
A) = 10 m North
B) = 7 m at 30 degrees
C) = 4 m South
What is 11.27 m at 57.5 degrees or Northeast
500
A plane travels with a velocity of 80 mi/hr North with respect to the air. Determine the velocity of the plane relative to the ground if it encounters wind at:
a)10 mph N. b)10 mph S. c)10 mph W. d)60 mph E.
What is...
a) 90 mph North
b) 70 mph North
c) 80.6 mph @ 97.1 degrees or Northwest
d) 100 mph @ 53.13 degrees or Northeast
500
The meaning of the variable Vi in projectile motion problems
What is initial velocity (typically a vector given with an angle)
500
Unable to leave some motherless cubs helpless, Rolyna decides to make pumpkin soup for them. In the middle of the night, some wolves come looking for food. To get rid of the wolves, Rolyna throws a pumpkin 1 meter from the ground at an angle of 30⁰ with a velocity of 15 m/s. The pumpkin takes 1.62 seconds to hit the ground. Calculate...
A) The speed of the pumpkin at the maximum height
B) The speed when the pumpkin hits the ground
What is...
a) 12.99 m/s
b) 15.63 m/s