A STUDENT DROPS AN OBJECT OUT THW WINDOW OF THE TOP FLOOR OF AHIGH-RISE DORMITOR

Question

A STUDENT DROPS AN OBJECT OUT THW WINDOW OF THE TOP FLOOR OF AHIGH-RISE DORMITORY. (a). Neglecting air resistance, how fast is the objecttraveling when it strikes the ground at the end of 3.9 s? Firstused standard British units and then express the speed in mi/h fora familiar comparison. ----ft and ---mi/h Can things dropped from high places be dangerous to peoplebelow? yes/no (b). How far, in meters, does the object fall during the 3.9s? Comment on how many floors the dormitory probably has. (Assumethat there are 32 floors/100 m). -----m and ------floors A STUDENT DROPS AN OBJECT OUT THW WINDOW OF THE TOP FLOOR OF AHIGH-RISE DORMITORY. (a). Neglecting air resistance, how fast is the objecttraveling when it strikes the ground at the end of 3.9 s? Firstused standard British units and then express the speed in mi/h fora familiar comparison. ----ft and ---mi/h Can things dropped from high places be dangerous to peoplebelow? yes/no (b). How far, in meters, does the object fall during the 3.9s? Comment on how many floors the dormitory probably has. (Assumethat there are 32 floors/100 m). -----m and ------floors

Explanation / Answer

a) v final = v initial + at = 0 + (9.8)(3.9) = 38.22m/s 1 ft/s = 0.3048 m/s 38.22 m/s = 125.394 ft/s = 85.496mi/h so things dropped form high places can be dangerous to people belowsince objects are accelerated towards the earth at 9.8 m/s^2 b)y = vt +0.5at^2 = 0+ (0.5)(9.8)(3.9)^2 = 74.529m 32 floors and the dormitory is 100m high. so each floor/ story is 3.125m high so the dormitory has 74.529/3.125 = 23.849 floors Hopefully this helps!

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