A roller-coaster car moves 190 ft horizontally and then rises 119 ft at an angle

Question

A roller-coaster car moves 190 ft horizontally and then rises 119 ft at an angle of 30 degree above the horizontal. It then travels 119 ft at an angle of 40 degree downward. What is its displacement from its starting point? Use graphical techniques. (Do this on paper. Your instructor may ask you to turn in this work.) d = ft theta = degree (counterclockwise from the +x-axis) Vector A vector has a magnitude of 25 units and points in the positive y-direction. When vector B vector is added to A vector, the resultant vector A vector + B vector points in the negative y-direction with a magnitude of 16 units. Find the magnitude of B vector? A vector has an x component of -24.0 units and a y component of 39.8 units. Find the magnitude and direction of this vector. magnitude unit(s) direction degree counterclockwise from the +x axis

Explanation / Answer

3.) let A = xi + yj given x = -24 y = 39.8 magnitude = sqrt(x^2+y^2) = 46.47 direction = tan^-1(39.8/-24) =-58.90

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