A sport at a nearby educational institute involves running along the roof of an apartment building, jumping off the edge, and falling into the pool below. This dangerous sport involves a combination of strength of spirit, braggadocio, and inebriation.
Let's say a student (50 kg) accelerates uniformly from rest at one side of the building to the jumping edge, a distance of 5 m. Just after his feet leave the building, he is traveling horizontally at a speed 5 m/s. The building is 7.2 m high, and the pool is 4.5 m from the edge of the building. Use g = 10 m/s2.
How much time does it take the student to accelerate as he is running along the roof?