A student drops an object out the window of the top floor of a high-rise dormitory.

(a)Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 2.9 s? Express the speed in mi/h for a familiar comparison.

Can things dropped from high places be dangerous to people below? (Assume that a falling object can be dangerous if its speed exceeds 35 mi/h.)

(b)How far, in meters, does the object fall during the 2.9 s?

How many floors does the dormitory have?. (Assume 4 m/floor.)

1 answer

(a) v = gt, so v(2.9) = 9.81 * 2.9 = ____ m/s
35 mi/hr * 1609m/mi * 1hr/3600s = (35*1609)/3600 = ____ m/s

(b) s = 1/2 gt^2
floors = (b)/4