{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chapter 3

# Chapter 3 - Chapter 3 Motion in Plane Motion in the x...

This preview shows pages 1–4. Sign up to view the full content.

1 Chapter 3 Motion in Plane Motion in the x direction is independent from motion in the y direction. We use the same equations as in Chapter 2, but for each dimension separately. There are only a few new equations in this chapter. Quick Review Vectors components x 45° 4.0 m x 30° 3.0 m A B y y A y A x B y B x x y A y B y B x A x A B C C x C y + = A + B = C adding vectors, by components note B = C - A Quick Review Velocity, acceleration and equations of motion for constant acceleration slope of tangent of x vs. t graph slope of tangent of v vs. t graph You throw a ball horizontally off a roof. Assuming the ball behaves as an ideal projectile, the time until it lands is determined only by: A. its initial speed and the horizontal distance to the point where it lands. B. the height of the roof and its initial speed. C. the height of the roof.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 You and a friend throw two rocks off a bridge. Your friend throws hers with an initial direction 30° below the horizontal. You throw yours with the same initial speed but in a direction 30° above the horizontal. When the two rocks hit the water: A. your friend's is moving faster. B. yours is moving faster. C. they are moving at the same speed. Motion in a plane Often, motion in three-dimensions is really motion in a plane (two-dimensions). For example, if there’s no wind, a field-goal kick can be considered to move in a vertical plane In this lecture we’ll first consider some generalities, then consider two specific, common examples: • projectile motion (in a plane, with gravity vertically) • uniform circular motion Position Vector Specifies Location and Displacement of an Object in an x-y Coordinate System A position vector points from the origin to the particle. note: y vs. x recall: • co-ordinates indicate position relative to fixed axes (here x, y) • position vector points from the origin to the object • vector has components - for the position they are the co-ordinates Velocity in two-dimensions Velocity is a vector: average velocity is defined as the change in the position vector in a time note: y vs. x
3 Velocity in two-dimensions - components We can completely separate into components.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 10

Chapter 3 - Chapter 3 Motion in Plane Motion in the x...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online