Pls will mark brainliest.
a rock is dropped from a height of 32 m. how many seconds it takes for the flare to hit the ground? use the formula below where h0 is the initial height. approximately how long will is take the object to hit the ground?
h(t)=−16t2+h0
question 3 options:
0.8 sec
1.4 sec
2.3 sec
5.1 sec

t = 1.4 sec.

This is an example of freefall, here the height is given as function of time and we want to know how long take to the rock from a height of 32m reach the ground.

With h₀ = 32 m, and set h(t) = 0 due the height when the rock hit the ground is 0.

h(t) = -16t² + 32 = 0

Solving:

-16t² + 32 = 0

32 = 16t²

Clear the equation for t:

t = ±√32/16

t = ±1.414s

Take the positivie value since time can't be negative:

t = 1.414s ≅ 1.4s

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.