Arock is thrown upward from a bridge into a river below. the function f(t) = -16t^2+38t+138 determines the height of the rock above the surface of the water (in feet) in terms of the number of seconds t since the rock was thrown.

a. what is the bridge’s height above the water? in feet

b. how many seconds after being thrown does the rock hit the water? in seconds

c. how many seconds after being thrown does the rock reach its maximum height above the water? in seconds

d. what is the rock’s maximum height above the water? i’m feet

going into detail about how to solve this would be appreciated