Ken wishes to get produce from the store, which is a distance d = 2.5 km east of his condo. ken rides his bike to the store at a constant speed of v1 = 6.1 m/s, and rides back to his condo at the slower speed of v2 = 2.4 m/s.

1. how long ( in second) does it take for steve to reach the store?
2. in second, how long does the whole trip take?
3.how long does the trip take in minutes ?
4. how much distance, in kilometers, did steve travel during the whole trip?
5. what is the magnitude of steve's displacement, in km, for the entire trip?
6. what is the direction of steve's displacement for the entire trip?

1. It takes Steve (or was it Ken?) 410 s to reach the store.

2. The whole trip takes Ken 1452 s.

3.  In minutes, the whole trip takes 24 min.

4. Ken travels 5 km during the whole trip.

5. The magnitude of Ken´s displacement is zero.

6. Since the displacement is equal to the null vector, it has no direction.

Explanation:

Hi there!

1. Using the equation of traveled distance, we can find the time it takes Ken to travel to the store:

D = v · t

Where:

D = traveled distance.

v = speed.

t = time.

Solving for t:

D/v = t

2500 m / 6.1 m/s = t

t = 410 s.

It takes Steve (or was it Ken?) 410 s to reach the store.

2. Let´s find how much time it takes Ken to return home using the same equation as in part 1:

D/v = t

2500 m / 2.4 m/s = t

t = 1042 s

Then, the whole trip takes Ken (1042 s + 410 s) 1452 s.

3. In minutes, the whole trip takes (1452 / 60 ) 24 min.

4. Ken travels 2.5 km to reach the store and 2.5 km to return home. So, he travels (2.5 km + 2.5 km) 5 km during the whole trip.

5. The displacement (Δx) is calculated as follows:

Δx = final position - initial position

If we consider his home as the origin of the frame of reference, the store will be located at 2.5 km to east (considered the positive direction).

Since the final position and the initial position are the same (the origin of the frame of reference), the displacement is zero:

Δx = final position - initial position = 0 - 0 = 0

Another way to see it:

The displacement of Ken to the store is 2.5 km east (positive). Then, the displacement is 2.5 km west (negative). Both displacement vectors have the same magnitude but opposite direction. So, the sum of both vectors is equal to the null vector. The magnitude of the null vector is zero.

6. Since the displacement is the null vector, it has no direction.

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.

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.