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

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Question 1181432: 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 the ground?
B.what is the horizontal distance travelled by the ball before it hits the ground?

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

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.

Solved.

My solution is a standard mantra to pronounce it every time, when you solve similar problem.



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