Astationary 2kg mass is struck by a lkg mass that's initially (just before the collision) moving downward at 10m/s (call it the -z-direction) and horizontally at 30m/s (call it the +x-direction) such that its initial velocity is vi (30m/s)î - (10m/s)k. the lkg mass then rebounds at 16m/s in the -y-direction (so its final velocity is -16m/ for the purposes of this problem, the system should be defined as these two masses (a) is the total momentum of this system conserved from the moment just before the lkg mass collides with the 2kg mass to the moment just after this collision has occurred (remember that momentum is a vector)? if so, how do you know? if not, describe how/why not. (b) use the component(s) of momentum that are conserved in this collision to find the final velocity of the 2kg mass (c) find the initial velocity of the center of mass. given (a), what is the final velocity of the center of mass?

1 - wave length

2 - amplitude

3 - crest

4 - trough

explanation:

duh.

he kicked it 10 feet straight up into the air? i think this works.

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.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y