Answer:
The egg hits the ground after 2.5 seconds.
Step-by-step explanation:
Height of the egg:
The height of the egg after t seconds is given by:
[tex]h(t) = 100 - 16t^2[/tex]
After how many seconds does the egg hit the ground?
This is t for which [tex]h(t) = 0[/tex]. So
[tex]h(t) = 100 - 16t^2[/tex]
[tex]16t^2 - 100 = 0[/tex]
[tex]16t^2 = 100[/tex]
[tex]t^2 = \frac{100}{16}[/tex]
[tex]t = \sqrt{\frac{100}{16}}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
The egg hits the ground after 2.5 seconds.
