Unit 2 - Two Dimensional Motion

Question 1

Multiple Directions - Displacement

Scale Diagrams

Answer 1

Scale Diagrams

• A compass rose is required
• A scale is required (Ex., 5 cm = 5 m)
  
  • The values of the drawing must match up with the question and the scale
• Measure the length of the hypotenuse – displacement

Question 2

Multiple Directions - Displacement

Algebraically

Answer 2

• Draw a Cartesian plane
• Add the vectors in as separate motions, forming a triangle
• Add up the x’s and y’s using cos or sin
• Form a triangle and find the hypotenuse – displacement

Question 3

How can one find, for example, a “due north” path in a relative motion question?

Answer 3

Draw the triangle as usual. If the object needs to go “due north” for example, “flip and shuffle”.

Question 4

Straight down

Answer 4

• No ‘x’
• Viy = 0
• ay = 9.8 m/s²

Question 5

Straight up

Answer 5

• No ‘x’
• Vfy = 0
• ay = -9.8 m/s²

Question 6

No ‘straight’ direction

Answer 6

• Vx = Vi and Vf
• ay = -9.8 m/s²
• If given angle, use it to find Vx and Viy! (cos and sin)
• Vfy = 0 (at top only)
• Past the initial triangle at the x-axis, Vf = Vi