An object falls from a height of 400 feet. Its height, h, in feet is given by the equation where t is the time in seconds the object has fallen. How many seconds will it take for the object to reach the ground?

Answer:
Option B is correct, i.e. t = 5 seconds.
Step-by-step explanation:
Given the equation of height of object is h = -16t² + 400.
When it touches the ground, the height of object would be ZERO.
So the equation becomes:-
0 = -16t² + 400.
16t² = 400
t² = 400/16
t² = 25
t = √25
t = ±5
Since, t is the time and time can not be negative value.
Hence, option B is correct, i.e. t = 5 seconds.