a cheetah wants to eat an antelope. the cheetah can run about 25m/s the antelope can run about 20m/s. the cheetah can sustain its speed for 500m. the antelope can sustain its speed for much longer. how close does the cheetah have to get to catch the antelope? assume the cheetah accelerates from stalking at negligible speed to full speed at 5m/s2. assume the antelope accelerates from eating peacefully at 0 speed to full speed at 4m/s2 the instant the cheetah starts to run. how close must the cheetah get to catch the antelope?