Zoologists estimate that the average adult cheetah can run at a speed of 100 km/hr and that the average antelope can run at a speed of 65 km/hr. If the animals run along the same straight line, start at the same time, are each assumed to have constant acceleration and reach their respective top speeds in 4 seconds, at what distance must the cheetah relative to the antelope be when the chase begins if the cheetah catches the antelope in 15 seconds?