To determine the height of a flagpole, Abby throws a ball straight up and times it. She sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. How high is the pole above the point where the ball was launched

Explanation:

Given that

The initial time to reach pole t=0.5s

Final time to reach pole again t'=4.1s

Final velocity v=0m/s, at maximum height

Then, let find the initial velocity between the 0.5 sec and maximum height.

The time it spent up above the pole is t=4.1-0.5

t=3.6s

So he spent 3.6 s moving up and coming down to meet the pole again.

Therefore, the time to reach maximum height is 3.6/2= 1.8s

Then the velocity at the top of the pole moving up is given as

Using the equation of motion under free fall.

v=u-gt. Against gravity

0=u-9.8×1.8

0=u-17.64

u=17.64m/s

This is the velocity going up at the top of the pole

Now, let know the original initial velocity from the hand of the Abby

Now the total time is now the first 0.5 sec to reach height op pole plus the 1.8sec to reach maximum height, t=0.5s+1.8=2.3s

Then using same equation

v=u'-gt

0=u'-9.8×2.3

0=u'-22.54

Then, u'=22.52m/s

So to calculate height of pole using any of the equation of motion

v²=u²-2gH

In the case the initial velocity is the velocity at Abby hand (u') and the final velocity at the top of the pole(u)

Then

u²=u'²-2gH

17.64²=22.52²-2×9.81×H

311.17=507.15-19.62H

311.17-507.15=-19.62H

-195.98=-19.62H

Then, H=-195.98/-19.62

H=9.99m

Then, the height of the pole is approximately 10m

elly's long hair:

a. if the salon only takes cash, then this isn't the problem. it doesn't matter how much she has in her checking account.   she can't get a haircut until she has the cash.

b. if she has overdraft protection, then there's no problem.   she can go ahead and write a check that her account can't cover, then sometime later, pay the bank some outrageous usury for loaning her a few bucks for a few days, but with beautiful hair.

c. if elly has some principles, and doesn't want to write a bad check, then now she has a problem.   her desire for the new hairstyle is in conflict with her honesty and integrity.

d.   if the bank will not process a check she writes, then even if she had a million $$ in her account, she couldn't use any of it.   the amount she has in her account is not the problem.   and if i may suggest, she might as well close her checking account, and put the money where it'll work for her.   it's not doing her a bit of good in a checking account, since she can't write any checks.

justin can't pay the full balance:

a. he can't even handle the credit limit he has now.   under no circumstances should he ask for a higher limit.

b.   he can ask for the grace period to be extended.   but that's no solution, the bank will almost certainly refuse anyway, and there are much better options.   he knew the rules of his credit card when he started using it.

c.   he definitely should pay the interest on the balance, plus as much of the balance as he can cover at the same time.

d.   he definitely should pay the minimum otherwise they could shut down his card.   he should also pay as much more as he possibly can.   he should also remember the awkward situation he's in, stop buying stuff on credit that he can't afford, and avoid adding any more debt.

i'd say that justin's best best option isn't on this list of choices.   what he has to do:   pay as much as he can at least the minimum payment plus as much more as he can and then avoid adding more debt.

in physics zero. in muscle fatigue could be high