Question

A penny is dropped from the empire state building which is 1250 feet tall if the penny's pathway can be modeled by the equation h=-16t squared +1250 how long would it take the penny to strike a 6 fort tall person

Answer 1

Answer:

It would take approximately 8.82 sec for a penny to strike the person.

Step-by-step explanation:

Given:

Height of the building = 1250 feet

Height of the person = 6 feet.

Modeled equation is $h=-16t^2+1250$

We need to find the time required 't' for the penny to strike the person.

Solution:

to find the time required 't' for the penny to strike the person we will substitute;

h ⇒ height of the person.

So we get;

$6=-16t^2+1250$

Now Combining the like terms we get;

$16t^2=1250-6\\\\16t^2=1244$

Dividing both side by 16 using division property we get;

$\frac{16t^2}{16} =\frac{1244}{6}\\\\t^2 = 77.75$

Now taking square root on both side we get;

$\sqrt{t^2}= \sqrt{77.75}\\\\t \approx 8.82 secs$

Hence It would take approximately 8.82 sec for a penny to strike the person.