Problema Solution

If an object is thrown upward with an initial velocity of 64 ft/sec, its height after t sec is given by h=64t-16t^2. Find the number of seconds the object is in the air before it hits the ground.

Answer provided by our tutors

The total displacement is 0 as it reaches the ground.

so 0 = 64 - 16t^2

=> 64 = 16 x t^2

=> t^2 = 64 / 16

=>t^2 = 4

=> t = root(4)  = 2