If an object is dropped from a height of 116 feet, the function h(t)=-16t^2+116 gives the height after t seconds. when will the object hit the ground?

2.69 seconds

Step-by-step explanation:

the function for the height and time is:

when the object collides with the ground, it means that at that moment its height is zero. So we need to solve the equation above for when h(t) equals zero:

clearing for t:

the object will hit the ground at time 2.69 seconds