Asandbag is released from a hot air balloon that is 400ft above the ground. using the falling object model, h = –16t2 + s, where h = height in feet, t = time in seconds, and s = initial height in feet, how long will it take for the sandbag to hit the ground?

a.
25 seconds
b.
4 seconds
c.
5 seconds
d.
20 seconds

Answer:

It takes 5 seconds for the sandbag to hit the ground

Explanation:

Given:

Height at which the sand bag is released from the hot air balloon

To find:

Time taken for the sandbag to hit the ground, t =?  

Solution:

The initial height =s

Initially the height will be 0

Hence

the falling object model equation  

Substituting the values we get,

Result:

Thus it takes 5 seconds for the sandbag to hit the ground

answer is c

step-by-step explanation:

81/12=324/x

x=48