2:28 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf 1.C. IDEA: Vectors can be moved anywhere in the plane, and they remain the same vector. Move the vector A below so that its tail is at the origin and find its numerical components Ax and Ay by looking at your new picture. HELP: The tail of A is at the point (x,y)=(-5,2). Make a right triangle with A as the hypotenuse and count the number of squres along the horizontal side and the number along the vertical side. Bring the tail to the origin and use the same number of squares to redraw A . This will allow you to get numbers for Ax and Ay. Notice that the horizontal component is pos and the vertical is negative. -9. -8- -7- -6- -5- -4- -3- -2- 1 -9 -8 -7 -6 -5 -4 -3 -1 01 2 3 4 5 6 7 8 +-1 -3 -4 -5 A -6 -7 -8 2.C. a. True or false: Given any generic vector the notation ||A|| represents the positive size of the vector. What name is given to the size of any vector? HELP: Starts with the letter "m". b. What are the standard metric units of ||A|| if A is a position vector. c. True or false: In two-dimensional motion the position vector locates where the object is at some instant in time. d. True or false: Eventhough vectors can be moved around in the plane, it is customary to draw the position vector with its tail at the origin and its tip at the location of the moving. object. e. An object moves along the parabolic path seen. Draw position vector r = (-2m, 7m). Draw the vector. y 11 10- 9- 8- 7- 6- 5. 4- 2 1 2 31 Dashboard Calendar To Do Notifications Inbox 000 100% 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf f. In two-dimensional motion what symbol do we use for the position vector? ANS: g. True or false: vectors in two dimensions have "components" that are numbers (i.e., scalars). h. True or false: It is customary to use the symbols x and y as the horizontal the vertical components respectively of a position vector. Given the position vector 7 = (-2m, 7m) what is the value x and what is the value of y? i. True or false: a position vector has components labeled x and y but a velocity vector has components labeled Vx and Vy. j. True or fasle: The instantaneous velocity vector is drawn so that (1) its tail at the object, (2) the vector is tangent to the path, and (3) the vector points in the direction of motion. k. An object moves along the parabolic path seen below. Suppose at time t = 1s, v = (1, 2) and r = (1m, 4m). Draw both and v. S S y 11- 10+ 9- 8- 7+ 6+ 5- Tangent line to path at t = 1s I. Suppose you were writing a book on physics. What would be a simple but logical notation for the horizontal and vertical components of a force vector? m. ax and a typically denote the horizontal and vertical components of which vector? Axand Ay typically denote the horizontal and vertical components of which vector? = n. 0. An object moves from initial position = (-2m, 7m) to final position 72 = (1m, 4m) along the parabolic path seen below. Draw three vectors 1, 2 and displacment Ar. fa y 11- 10- 86 9- 7- 9 5. 2- 1 N- 3 31 Dashboard Calendar 000 To Do Notifications Inbox 100%