Prof. BALBWN NAME: Vector A has magnitude 50 meters and direction, counterclockw

Question

Prof. BALBWN NAME: Vector A has magnitude 50 meters and direction, counterclockwise from east, of 13.9 degrees. To 1 decimal place, what are the values of its x-component and its y-component? 1. A vector has x-component -1.8 and y-component 2.3.What are its magnitude and direction to the nearest tenth of a unit? 2. A baseball is thrown horizontally off a cliff with a speed of 16 m/s. To the nearest tenth of a meter, what is the horizontal distance (y) and how far has it fallen () from the face of the cliff after 4.2 seconds? 3. A ball is thrown with a speed of 19 m/s and at an angle of 46 degrees. How high does it go above the cliff to the nearest tenth of a meter? 4.

Explanation / Answer

1)

X-component, Fx = F cos(theta) = 50 x cos 13.9° = 48.54 m

Y-component, Fy = F sin(theta) = 50 x sin 13.9° = 12.01 m

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