Physics
Velocity: how fast an object is moving
-The direction an object is moving is important
Acceleration: how quickly an object is changing velocity
-The direction an object is moving is important
Acceleration: how quickly an object is changing velocity
When you drop something, if air resistance is ignored, the object accelerates at 10 meters/second^2 towards the ground
Equations:
h=1/2at^2+Vot+ho
h=height now
ho= height to start
a=acceleration
t=time passed
Vo=velocity in the beginning
d=Vot
d=distance traveled
Vo=velocity to start
t=time passed
Equations:
h=1/2at^2+Vot+ho
h=height now
ho= height to start
a=acceleration
t=time passed
Vo=velocity in the beginning
d=Vot
d=distance traveled
Vo=velocity to start
t=time passed
Vectors
Vectors: consist of a magnitude (length) and a direction
Vector components
-all vectors can be broken into x and y components to "simplify" things
-require orientation (or traditional orientation is assumed)
x components= x direction
y components= y direction
Vector components
-all vectors can be broken into x and y components to "simplify" things
-require orientation (or traditional orientation is assumed)
x components= x direction
y components= y direction
Adding Vectors
Tail to Tip
Parallelogram Rule
Adding Vectors by Components
Subtracting Vectors
Questions:
Question #1
Find the component form and magnitude of this vector.
Find the component form and magnitude of this vector.
Question #2
Find the components of a vector that is <12,5>
Question #3
Answers:
Question #1
Step 1: Write the vector components in component form. <x-component, y-component>
Step 2:Use the pythagorean theorem to fin the magnitude (A^2+B^2=C^2)---> Square 4 and -13
Step 3:Add 16 and 169 together
Step 4: Square root 185 to get c
Step 5: Answer
Question #2
Step 2:Use the pythagorean theorem to fin the magnitude (A^2+B^2=C^2)---> Square 4 and -13
Step 3:Add 16 and 169 together
Step 4: Square root 185 to get c
Step 5: Answer
Question #2
Step 1: Use the pythagorean theorem to find the magnitude of the vector
Step 2: Use sin/cos/tan to find the direction of the vector
Step 3: Answer
Question #3
Step 2: Use sin/cos/tan to find the direction of the vector
Step 3: Answer
Question #3
Step 1: I recognized that in a parallelogram the opposite sides are equal in measure
Step 2: The opposite side of -V1 is 2.0 also
Step 3: I used the components <1.7,2> to find the direction of the Vector (tan/sin/cos)
Step 4: I used the pythagorean theorem to find V2 (2^2+1.7^2=V2^2)
Step 5: Answer
Step 2: The opposite side of -V1 is 2.0 also
Step 3: I used the components <1.7,2> to find the direction of the Vector (tan/sin/cos)
Step 4: I used the pythagorean theorem to find V2 (2^2+1.7^2=V2^2)
Step 5: Answer
Common Core:
Answers:
Step 1: Find the vector components of the vector V2 by using tan/cos/sin with the direction
Step 2: use the calculator to find the accurate answer
Step 3: Add V1 and V2 together (Parallelogram Rule----add the components together)
Step 4: VR components=<3.8,-1.8>
Step 5: To find the direction of the vector: Use vector components and tan/sin/cos
Step 6: Find the magnitude of VR by using the pythagorean theorem with x and y components
Step 7: Answer
Step 2: use the calculator to find the accurate answer
Step 3: Add V1 and V2 together (Parallelogram Rule----add the components together)
Step 4: VR components=<3.8,-1.8>
Step 5: To find the direction of the vector: Use vector components and tan/sin/cos
Step 6: Find the magnitude of VR by using the pythagorean theorem with x and y components
Step 7: Answer