3. (10 pts) Consider a corgi (a small dog) that has been taught to ride a skateboard. The corgi itself weighs 12 kg, and has been trained to run and jump onto a stationary skateboard of mass 5 kg that then begins to roll fon/vard after impact, with the corgi balanced on top. For this problem assume all motion is along the x-axis. a. If the corgi can run a maximum speed of 10 m/s, what is the maximum speed we can expect the corgi-skateboard combo to move at after impact? b. If, instead of jumping onto a skateboard that is at rest, consider the case where the corgi jumps onto a skateboard that is already moving fon/vard (away from the corgi) with a speed of 3 m/s before impact. What is the maximum speed we can expect the corgi-skateboard combo to move at after impact in this scenario? c. If, instead of jumping onto a skateboard that is at rest, consider the case where the corgi jumps onto a skateboard that is already moving backwards (towards from the corgi) with a speed of 3 m/s before impact. What is the maximum speed we can expect the corgi-skateboard combo to move at after impact in this scenario