8/13 + i/13 hope this helps
The equation that offers the best approximation to this result is:
. (Choice D)
<h3>How to find the free fall formula for a given scenario</h3>
An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:
(1)
Where:
- Initial height, in feet.
- Initial speed, in feet per second.
- Time, in seconds.
- Gravitational acceleration, in feet per square second.
If we know that
,
,
,
, then the height formula is:



The equation that offers the best approximation to this result is:
. (Choice D)
To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Answer: ( 5, -8)
Step-by-step explanation:
Solve out
x^2 + 64 = 0
x^2 = -64 ( we are going to use imaginary numbers to solve)
x =

x = 8i, -8i final answers