# Consider dropping a penny from the top of the Empire State Building (1470 ft above the ground). If..

Consider detriment a gentleman from the top of the Empire State Building (1470 ft aloft the account). If we let x(t) state the summit of the gentleman aloft account plane at age t , we can use Newton's cooperate law of agitation F = ma to conclude that the action of the gentleman is inferior by the differential equation atr x (0) = 1470, x' (0) = 0 =-32.2. dP where 32.2 is the gravitational aid in units feet per cooperate squared. (a) Determine the explanation for the summit of the gentleman aloft account plane at age t x (t) = x feet (b) What is the summit of the gentleman aloft account plane behind three cooperates? r (3) X feet (c) When does the gentleman hit the account? (Must be deferential to three decimal places.)