physics question

Question

A parkour athlete attempts a jump from the roof of a 25 meter tall building to the roof of a 22 meter tall building located across a 5 meter wide alleyway. The athlete runs horizontally off the taller building at a 6.7 m/s sprint. Does he make the jump, landing on the roof of the shorter building?

Answer 1

To determine whether the athlete reaches the other building safely, you must calculate the time it takes to fall 3 m then multiply that by his horizontal velocity which should be at least 5 m. The time to fall 3 m can be determined by

S = 1/2gt². Rearrange to get

t = √2S/g This calculates to 0.78 s where S is 3 m (the distance in height of the buildings and g is 9.8m/s²

Now use the equation D = v x t = 6.7 m/s x 0.78s = 5.2 m.

Therefore, he makes it.