Answer:
Therefore the object will hit the ground after 3 seconds.
Step-by-step explanation:
Given that an object is dropped from a height of 141 feet.
Given function is
h(t)= - 16t²+141
When the object hits the ground, the height of the object will be zero.
It means h(t) = 0
Putting the h(t)=0 in the given function
0 = - 16t²+141
⇒-16t²+144=0
⇒ -16t² = -144
⇒16t²=144
[tex]\Rightarrow t^2 =\frac{144}{16}[/tex]
Square rooting both sides
[tex]\Rightarrow t=\sqrt{\frac{144}{16}}[/tex]
[tex]\Rightarrow t= \frac{12}{4}[/tex]
⇒t = 3
Therefore the object will hit the ground after 3 seconds.
