Question

A two-dimensional vector has an x-component of 5.06 meters and a y-component of 9.18 meters. Calculate the magnitude of this two-dimensional vector 1.067 meters 1,067 meters CHECK ANSWER 1 of 2 attempts used LAST ATTEMPT Question5 A two-dimensional vector has an x-component of 8.95 meters and a y-component of 3.33 meters. Calculate the angle (in degrees) that this two-dimensional vector makes with the positive x-axis Enter answer here : degrees of 2 attempts used CHECK ANSWER Question 6 A two-dimensional vector makes an angle o θ Ⅲ 76.2 and has an x-component of 39.8 meters Calculate the magnitude o this two-dimensional vector Enter answer here meters

Answer 1

Magnitude of the vector R = squareroot x^2 + y^2 R = squareroot (5.06)^2 + (9.18)^2 = squareroot 25.60 + 84.2 R = 10.4 m Tan theta = y/x or theta = tan^-1 y/x = tan^-1 3.33/8.95 or theta = tan^-1 0.37 or theta = 20.30 or 20 degree 18 inches. X component of a vector is X = A cos theta or 39.8 = A cos 76.2 or 39.8 = A (0.23) or A = 170 m