1. A box slides down the path described by the equation y = 0.05x, where x...

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1. A box slides down the path described by the equation y = 0.05x, where x and y are in meters. If the x-components of the velocity and acceleration of the box are v = 3 m/s and a = 1.5m/s at x = 5m, determine the y components of the velocity and acceleration of the box at this instant. 2. The path of an helicopter is defined by the parametric equations x = 2t m and y = 0.04t m, where t is in seconds. Determine the distance the helicopter is from point A and the magnitudes of its velocity and acceleration when t = 10s. A x 3. A motorcycle travels with a constant speed v along a road, that for a short distance, takes the form of a sine curve y = csin x. Determine the x and y components of its velocity at any instant on the curve. - y = c sin (x) L L X 1. A box slides down the path described by the equation y = 0.05x, where x and y are in meters. If the x-components of the velocity and acceleration of the box are v = 3 m/s and a = 1.5m/s at x = 5m, determine the y components of the velocity and acceleration of the box at this instant. 2. The path of an helicopter is defined by the parametric equations x = 2t m and y = 0.04t m, where t is in seconds. Determine the distance the helicopter is from point A and the magnitudes of its velocity and acceleration when t = 10s. A x 3. A motorcycle travels with a constant speed v along a road, that for a short distance, takes the form of a sine curve y = csin x. Determine the x and y components of its velocity at any instant on the curve. - y = c sin (x) L L X