Question

Interactive Exercises 3.04: Vector Addition Using Components The simulation (linked below) shows two displacement vectors, labeled a and b(See the blue and red, open tipped arrows, respectively.) The simulation also shows an xy coordinate system, and a series of grid lines, where the spacing between adjacent lines is 2 km. Question 1 What are the components ax and ay of the first displacement? ax km dy km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER Question 2 What are the components b, and b, of the second displacement? km km By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Attempts: o of S used SAVE POR LATER SUBMIT ANSWER SUBMIT ANSWER

Answer 1

As grid spacing = 2 k m so a_x = 4^k m, a_y = 4^k m similarly b_x = -2 times 3 = -6 k m, b_y = -2 k m [negative sign indicates that b x, b y are opposite to x and y -axis] Now v_x = a_x + b_x = 4 - 6 = -2 km v_y = a_y + b y = 4 - 2 = 2 k m black arrow gives new position a + b = 2 i - 4 i 4 i + 4 j + b x + b y = 2 i + 4 j b x + b y = -2 i - 8 j so b x = -2 k m b y = -8 km