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1. Vector A has magnitude of 13.1 and is 185° counter-clockwise up from the x-ax

ID: 1529162 • Letter: 1

Question

1. Vector A has magnitude of 13.1 and is 185° counter-clockwise up from the x-axis. What are the x- and y-components of the vector?

2. Vector C has a magnitude 21.0 m and is in the direction of the negative y-axis. Vectors A and B are at angles = 45.4° and = 27.7° up from the x-axis respectively. If the vector sum A B C = 0, what are the magnitudes of A and B?

3. An airplane releases a ball as it flies parallel to the ground at a height of 245 m as shown in the figure. If the ball lands on the ground exactly 245 m from the release point, calculate the speed v of the plane. Neglect any effects due to air resistance, and use g = 9.81 m/s2 for the acceleration due to gravity.

Explanation / Answer

Multiple questions I am allowed to answer only 1 question at a time According to the chegg guidelines.

1) Vector (a) = 13.1 theta = 185 deg ( counter clock wise )

A(x) = 13.1 * cos ( 360 -185 ) = -13.050 =========a)

A(y) = -13.1 * sin ( 360 -185 ) = -1.14174023 ======b)