HELP, THIS IS WAS DUE SO LONG AGO. I PUT THE DIAGRAM THIS TIME. 1.) What is the height of the cannon before it is launched, at t=0? Remember to include units.

2.) A projectile’s maximum height is shown by the vertex of the parabola. When does the cannonball reach its maximum height? Round to the nearest whole number and remember to include units.

3.) What is the maximum height of the cannonball? Round to the nearest whole number and remember to include units.

4.) How long does it take the cannonball to land on the ground? Round your answer to the nearest whole number and remember to include your units.

5.) If you launch the cannonball from the ground instead (hi=0), what does that change in the original equation?

6.) What would be the equation of the cannonball’s path if it was launched with the same velocity, but from the ground instead?

7.) *BONUS* Using this new equation, what is the new maximum height of the ball and how long did it take to hit the ground? Round to the nearest whole number and remember to include units.

#1

put t=0 in function

#2

It's already located

#3

#4

Count on t axis on graph

#5

Just the initial velocity and height becomes zero

New function

#6

Sam e initial velocity but height becomes zero

New function

1) 58 m

2) t = 2 s

3) 78 m

4) t = 6 s

5) It changes the y-intercept (58) to zero

6)

7) h = 20 m

  t = 4 s

Step-by-step explanation:

1) When t = 0:

Therefore, the height of the cannon before it is launched is 58 m

2) To find the time when the parabola reaches its max height, differentiate the function with respect to t, equal to zero, then solve for t:

3) The maximum height of the cannonball is when t = 2.020408163...:

Therefore, the maximum height of the cannonball is 78 m (nearest whole number)

4)  Set the function to zero and solve for t:

As time is positive, t = 6 s (nearest whole number)

5)  If you launch the cannonball from the ground, where , then the y-intercept will be 0 and the function will be  

6)

7) To find the maximum height of the parabola, differentiate the function with respect to t, equal to zero, solve for t, then substitute the found value for t into the equation:

To find the time it took to hit the ground, set the function to zero and solve for t:

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.