Hi all. A student drops an object out the window of the topfloor of a high-rise

Question

Hi all. A student drops an object out the window of the topfloor of a high-rise dormitory. a) Neglecting air resistance, how fast is the object travelingwhen it strikes the ground at the end of 3.2 s. First used standard British units and then express the speedin mi/h for a familiar comparison. __________ ft/s __________mi/h b) How far, in meters, does th object fall during 3.2 s?Comment on how many floors the dormitory probably has. ( assumethat there are 32 floors/100 m.) ___________ m ___________ floors Hi all. A student drops an object out the window of the topfloor of a high-rise dormitory. a) Neglecting air resistance, how fast is the object travelingwhen it strikes the ground at the end of 3.2 s. First used standard British units and then express the speedin mi/h for a familiar comparison. __________ ft/s __________mi/h b) How far, in meters, does th object fall during 3.2 s?Comment on how many floors the dormitory probably has. ( assumethat there are 32 floors/100 m.) ___________ m ___________ floors

Explanation / Answer

   a ) time taken to reach the ground is t =3.2 s                                               speed v 0 = g * t                                                              = 9.81 m/s2 * 3.2 s                                                              = 31.3 m/s                          1 m/s = 3.281 ft / s   , 31.3 m/s = 102.9 ft/s                         1 mi / h = 0.4470 m/s , 31.3 m/s = 70.02 mi/h b )    distance travelled d = v * t                   speed of the object is v = 32 floors / 100m ,time t = 3.2 s                                                               d =  32 floors / 100m * 3.2 s                                                 =1.024 m                         32 floors                     

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