Linear air-resistance a hockey puck (m-0.1kg) slides across the ice (assume frictionless). however, there is linear air resistance, f=-bv, where b=5x10-5kg/s. the initial speed of the puck is 20 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) (15 points) now, include the effect of friction and let the coefficient of kinetic friction to be 0.1 and repeat (a) to (c).