Question

If an object is dropped from a height of 141 feet, the function LaTeX: h\left(t\right)=-16t^2+141h ( t ) = − 16 t 2 + 141 give the height of the object after t seconds. When will the object hit the ground?

Answer 1

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

$\Rightarrow t^2 =\frac{144}{16}$

Square rooting both sides

$\Rightarrow t=\sqrt{\frac{144}{16}}$

$\Rightarrow t= \frac{12}{4}$

⇒t = 3

Therefore the object will hit the ground after 3 seconds.