An alaskan rescue plane traveling 48 m/s drops a package of emergency rations from a height of 165 m to a stranded party of explorers. the acceleration of gravity is 9.8 m/s 2 . where does the package strike the ground relative to the point directly below where it was released? answer in units of m.

what is the horizontal component of the velocity just before it hits?
answer in units of m/s.

(a) 278.4 m

First of all, we need to find the time it takes for the package to reach the ground. We can use the equation for the vertical motion:

where

h = -165 m is the vertical displacement

is the initial vertical velocity

is the acceleration of gravity

t is the time

Substituting and solving for t,

During this time interval, the package travels with a horizontal speed of

(the initial velocity of the plane)

So, the horizontal distance covered is

So, the package landed 278.4 m far from the point directly below the releasing point.

(b) 48 m/s

Along the horizontal direction, there is no force (if we neglect air resistance), therefore no acceleration, according to Newton's second law:

so a = 0 since .

This means that the horizontal component of the velocity remains constant; since its initial value is

Then it will remain constant for the whole motion, and therefore it will still be 48 m/s when the package reaches the ground.

it consists of the house of representatives and the senate.

explanation:

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.