sky724

02.06.2021 •

Mathematics

What is the equation for the curve of best fit? (-5,-20), (-3,-15), (-1,-10), (1,5), (3,20), (6,35).

Round to the nearest TENTH and record your answer in the boxes provided. Make sure to include + or - in the boxes.
y=x^2x

Solved

Show answers

Ответ:

irosser215

04.07.2021

Mathematics

396.9 meter

Step-by-step explanation:

If a represents the acceleration,

Then according to the question,

a = -9.8 m/s²,

$\frac{dv}{dt}=-9.8$ ( acceleration = change in velocity with respect to time ),

dv = -9.8dt

Integrating both sides,

v=-9.8t + C

When t = 0 seconds, v = 0 m/s,

0 = -9.8(0) + C

$\implies C = 0$

$\implies v=-9.8t$

$\frac{dx}{dt}=-9.8t$ ( velocity = change in position with respect to time ),

dx = -9.8tdt

Integrating again,

x=-4.9t^2 + C'

When t = 0 , x = 0 meters,

$0=-4.9(0) + C'\implies C'=0$

Hence, the final equation that shows the position of the hammer after t seconds,

x=-4.9t^2

If t = 9 seconds,

x = -4.9(9)^2 = -4.9(81) = -396.9 ( negative sign shows the fall ),

Therefore, it will fall 396.9 meter in 9 seconds

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

What is the equation for the curve of best fit? (-5,-20), (-3,-15), (-1,-10), (1,5), (3,20), (6,35). Round to the nearest TENTH and record your answer in the boxes provided. Make sure to include + or - in the boxes. y=x^2x