Quadratic air-resistance. a hockey puck (m-0.1kg) slides across the ice (assume frictionless). however, there is linear air resistance, f--cv2, where c-10-3kg/m. the initial speed of the puck is 30 m/s. (a) (5 points) find the speed of the puck as a function of time. (b) (5 points) find the time where is the speed is half of the initial speed and distance travelled. (in radioactive decay, this time would be called the half-life) (c) (5 points) will the puck ever stop? is there a maximum distance travelled? if yes, what is that distance? (d) (5 points). include both linear and quadratic air-resistance term, f--bv-cv' and find the velocity as a function of time. (you may need to look up the integral).