An object falls from a height of 400 feet. Its height, h, in feet is given by the equation h=-16t^2+400 , where t is the time in seconds the object has fallen. How many seconds will it take for the object to reach the ground?


A.
1/5
B.
5
C.
20
D.
25

Respuesta :

16t^2=400
t^2=25
t=5
5 seconds=B

The number of seconds that it will take for the object to reach the ground is; B: 5

Solving Equations of Projectiles

We are given the equation for the height of the ball as;

h = -16t² + 400

Now, when the ball is on the ground, the height will be zero that is h = 0.

Thus, putting 0 for h gives;

0 =  -16t² + 400

16t² = 400

t = √(400/16)

t = √25

t = 5

Read more about equation of projectiles at; https://brainly.com/question/15848058