In a city in South Africa all the roofs of the houses are flat and level. A motor bike with an initial speed vo successfully jumps from a flat (i.e. horizontal) roof top and over a 15 m wide stream whose far river bank is 3.0 m lower than the roof tops. (a) What are the horizontal and vertical components of the initial velocity of the bike? (b) Assuming that the far river bank is not inclined, how much time does it take before the bike makes contact with the ground of the far river bank? (c) What is the smallest value of vo that still allows the bike to jump over the river? (d) If the initial speed vo= 30 m/s, what is the magnitude of the final speed of the bike at the moment just before it lands?