Question 5. A first responder drone of mass m slug is launched with a velocity vo ft/sec and constant engine force F from a level ground and moves vertically upward to discover a sense of life in a disaster road accident. The first responder drone experiences drag forces of the form (i) F = ky, (ii) F = k2v and (iii) Fd = k3v2 which arise from the mixture of rain and wind at different moments during surveillance of the accident scene. Select Oy as the reference frame for the motion of the first responder drone and assume positive velocity v to be in the upward direction of motion. The parameters k, k2, and k3 are positive constants. (i) Determine the degrees of freedom for the motion of the first responder drone. Hint. Consider the first responder drone as a particle and assume the direction of motion as positive direction. (ii) Sketch the free body diagram of the first responder drone of upward motion in the vertical y axis, label the coordinate y, the origin O, and the maximum height h reached from a level ground. (iii) Obtain expressions for the kinematic quantities (position, velocity and acceleration as functions of time) for each case of the drag forces using appropriate initial conditions of your choice