Finger Bone Measurements and Trigonometry

The video tutorial explains kinematics as the geometry of motion, using a model of a pointer finger with bones as cylinders and joints as spheres. It details the measurements of finger bones and joints, maps the finger on a Cartesian plane, and uses trigonometry to calculate angles and lengths. The focus is on determining the x-coordinate of the finger tip using trigonometric principles.

What is the primary focus of kinematics as introduced in the video?

• The measurement of time

• The geometry of motion

• The analysis of energy

• The study of forces

How are the finger bones modeled in the video?

• As narrow cylinders

• As wide rectangles

• As small cubes

• As thin lines

Tags

CCSS.2.MD.A.3

What is the length of the first finger bone as described?

• 1.6 centimeters

• 2.4 centimeters

• 3.0 centimeters

• 0.8 centimeters

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the proportion of the middle finger bone compared to the first?

• 3/4

• 2/3

• 1/3

• 1/2

Tags

CCSS.6.NS.C.8

What is the x-coordinate of the first joint on the Cartesian plane?

• 0.85

• 3.00

• 2.45

• 1.65

What angle is used to calculate the x-coordinate of the second section?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

Tags

CCSS.HSG.SRT.C.6

What trigonometric function is used to find the adjacent side in the video?

• Sine

• Cosine

• Tangent

• Secant

Tags

CCSS.8.G.B.8

What is the length of the hypotenuse used in the final x-coordinate calculation?

• 1.7

• 0.85

• 2.45

• 1.6

What is the final expression for the x-coordinate of the finger tip?

• 2.45 - 2.55 * cos(45)

• 2.45 + 2.55 * cos(45)

• 2.45 - 1.7 * sin(45)

• 2.45 + 1.7 * sin(45)

Tags

CCSS.HSG.SRT.C.8

What is the significance of the 45-degree angle in the calculations?

• It is irrelevant to the calculations

• It helps in determining the length of the hypotenuse

• It is used to find the y-coordinate

• It is used to calculate the adjacent side

Tags

CCSS.HSG.SRT.C.8