Recall that the height of an object t seconds after it begins moving when gravity is the only force acting on the object is given. h(t)=-16x^2 + v0t + h0. h(t) is given in feet. v0 = initial velocity of object in ft/sec. ho= initial height of object in feet. if the feather is dropped from the top of the bridge 90 feet above a river, how long does it take the feather to reach the water?

Time taken, t = 2.37 seconds

Explanation:

It is given that,

Height of an object at time t is given by :

Where

v₀ is initial velocity of object

h₀ is initial height of the object

The feather is dropped from the top of the bridge 90 feet above a river. we have to find the time taken by the feather to reach the water.

At the surface of water, h(t) = 0 and v₀t = 0

So,

t = 2.37 seconds

The feather will take 2.37 seconds to reach the water surface.