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/s 2 .
(i) How much time does it take him to fall?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) The acceleration on the roof is one problem, the falling is another. For 
, we need the vertical information.
We use the equation 
to obtain 
. We can eliminate choice A, and choice C is too large, so B is right.
(ii) We know gravity pulls down. Since nothing else touches the student, there is no other force.
(iii) Since the student's fall takes 
, the horizontal displacement is
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