Question

A sandbag 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 1

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$= -400 f t$

To find:

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

Solution:

The initial height =s

Initially the height will be 0

Hence$s=0$

the falling object model equation  

$h=-16 t^{2}+s$

Substituting the values we get,

$h=-16 t^{2}+s$

$400=16 t^{2}$

$t^{2}=\frac{400}{16}$

$t^{2}=25$

$t=\sqrt{25}$

$t=5 \text { seconds }$

Result:

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