SOLUTION: A ball is thrown horizontally out of the balcony with an initial horinzontal speed of 1.8m/s. If the balcony is 12m from the ground. A.how much time will take the ball to reach th

In this problem, the ball participates in two movements, at the same time.

Vertically, the ball falls with uniform acceleration g (the free fall acceleration, or gravity acceleration).

Horizontally, it moves uniformly with the constant horizontal speed.



In vertical direction, we have free fall, so


    H = ,


where  H is the height in meters,  g = 9.81 m/s^ is the gravity acceleration, t is the time of falling.


From this formula,


    t =  =  = 1.56 seconds  (rounded).


It is the answer to the first question.


In horizontal direction, the travel is UNIFORM. THEREFORE, the horizontal traveled distance is


     = 12 * 1.56 = 18.72 meters.


It is the answer to the second question.