Can someone explain to me how this problem is solved? . the height of a coconut falling from a tree is represented by the function h(t)=-16t^2+24 where h(t) is the height of the coconut, in feet, and t is time, in seconds what is the initial height, in feet, of the coconut?

If the function is h(t)=-16t^2+24, where h(t) is the height of the coconut in feet, then we can figure out the initial height (in feet) based on something called initial conditions. Initially, time is 0 seconds. Plugging that number into the equation results in:  
h(0)=-16(0)^2+24 = 24 feet. Therefore, the initial height of the coconut is 24 feet