An object was projected from the ground into sky with a certain force which governed its fall as in the following.

h = -25 t² + 200 t

where

t is the time in seconds since the object was projected, and

h is its height in meters from the ground at time t.

Locate the position of the object in term of its height from the ground at times = 1, 2, 3,4, 5,6,7, and 8 seconds from the beginning. You may notice that the object was on the ground in the beginning, i.e., h=0 when t=0.

Using your calculations, calculate the time in seconds when the object was at the maximum height.