Question

A quarter falls off a building that is 144

Answer 1

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

$h(t)=-16t^2+\text{Initial height}$

The time taken to reach the ground is needed. Here the ground is taken as reference so $h(t)=0$

$0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}$

So, time taken by the quarter to reach the ground is 3 seconds.