Vectors
Vector Addition
Horizontal Projections
Angled Projections
Miscellaneous
100
What is the magnitude of a vector with an x component of 3m and a y component of 4m?
5m
100
Describe the tip to tail method for vector addition?
Draw the first vector from the origin, then draw the second vector from the end of the first vector, then draw the resultant from the origin to the end of the second vector.
100
If you throw something horizontally, what is its initial velocity in the vertical direction?
0m/s
100
What angle should you launch a projectile to get the furthest range?
45 degrees.
100
What controls the rate an object falls back towards the surface of the Earth?
Gravity
200
What are the x and y components of a vector with a magnitude of 10 m/s at an angle of 30 degrees NE
x=8.6m/s
y=5m/s
200
What equation is used to relate the three sides of a right triangle to each other?
Pythagorean theorem
or
a2+b2=c2
200
You throw a rock horizontally from the top of a building. It takes 4 s to hit the ground. What is the height of the building?
80m
200
Why does the vertical velocity of a projectile decrease on the way up and increase on the way down?
Because gravity causes it to accelerate down.
200
What two equations help us to determine the height and range that a projectile follows?
x = vx*t
y=1/2g*t2
300
If both components of a vector are negative, what is the vector's direction.
SW
300
Mrs. Gomez rides her bike 22 miles to the east, then turns north and rides another 10 miles. Draw a graphical representation of this situation and calculate her resultant displacement? Be sure to include a compass direction.
24.1miles NE
300
You throw a bouncy ball horizontally. If it takes 5.7 s to hit the ground, how fast is it falling vertically just before it hits the ground?
57m/s
300
You throw a ball upward and it takes 2.3 s to reach the highest point, how high does the ball go?
26.45m
300
Name three examples of objects that are projectiles. What makes them a projectile?
Footballs, baseballs, rockets, arrows, darts, high jumper, shotput, etc.
They are thrown or launched into the air AND are subject to gravity.
400
What angle does a vector need to be for its x and y components to be equal?
45 degrees
400
Mr. Smith is rowing towards the east while a wind blowing at 0.6 m/s pushes him towards the south. This results in him actually moving towards the southeast at 2.3 m/s. Draw a graphical representation of this situation and calculate his resultant velocity? Be sure to include a compass direction.
2.2m/s East
400
An arrow is shot from the top of a high building with a horizontal velocity of 45 m/s. If the arrow lands after 3.0 s, what is the range of the arrow?
135m
400
At the highest point in a projectile’s path, what is the horizontal velocity equal to and what is the vertical velocity equal to? What is the acceleration of the projectile?
vx=v0x
vy=0
a=10m/s2
400
Name the three trig relations and the ratios they represent.
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
500
Vector A has a y component of 8.6m and an angle of 60 degrees above the horizontal. What is it's x component?
5m
500
Roger walks due east for 7 km, then turns north east at an angle of 26 degrees north of east and continues for 5 km. What is the magnitude of Roger’s displacement?
11.7km
500
You drop a banana at the same time you throw a golf ball horizontally from the same height. Which item hits the ground first? Why?
They hit the ground at the same time because they both start with an initial vertical velocity of 0 AND they both accelerate at the same rate down due to gravity.
500
Wallie kicks a soccer ball at an angle of 30 degrees and it takes 0.75 s to reach its highest point. What is the initial velocity of the soccer ball?
15m/s
500
Label the horizontal velocity and vertical velocity of each point on the image below. The horizontal velocity at the top of the path is 5 m/s.
x=5,y=5
x=5,0<y<5
x=5,y=0
x=5,0>y>-5
x=5,y=-5