Problema Solution

when an object is dropped,its height h can be determined after t seconds by using the falling object model h=-16t2+s where s is the initial height.find the time it takes an object to hit the floor when it is dropped from a height of s feet

Answer provided by our tutors

the object hits the floor when h = 0 after some time t, t>0


that is:


0=-16t^2+s


by solving for t we find:


t = (1/4)√s seconds


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it takes (1/4)√s seconds for the object dropped from a height of s feet to hit the floor.