You are standing at rest at a bus stop. a bus moving at a constant speed of 5.00 m> s passes you. when the rear of the bus is 12.0 m past you, you realize that it is your bus, so you start to run 2 toward it with a constant acceleration of 0.960 m> s .

a) how far would you have to run before you catch up with the rear of the bus?
b) how fast must you be running then? find the final speed just as you reach the bus.
c) would an average college student be physically able to accomplish this? yes or no

A) You have to run 73.8 m before you reach the rear of the bus.

B) When you catch the bus, your velocity will be 11.9 m/s.

C) No, an average college student would not reach the bus.

Explanation:

Hi there!

The equations of velocity and position that we will use are the following:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t.

x0 = initial position.

v0 = initial velocity.

t = time.

a = acceleration.

v = velocity at time t.

A) First, let´s find the time at which you catch the bus. At this time, the position of the bus and yours are the same:

When you catch the bus:

Bus position = your position

The equation of position of the bus with constant velocity is the following:

x = x0 + v · t

You have a constant acceleration, so your position will be given by the equation of position described above:

x = x0 + v0 · t + 1/2 · a · t²

If we place the origin of the frame of reference at the bus stop, your initial position is zero (and the initial position of the bus is 12.0 m). Since you start from rest, your initial velocity is also zero. Then:

Bus position = your position

x0 + v · t = 1/2 · a · t²

12.0 m + 5.00 m/s · t = 1/2 · 0.960 m/s² · t²

0 = 0.48 m/s² · t² - 5.00 m/s · t - 12.0 m

Solving the quadratic equation for t:

t = 12.4 s

You catch the bus in 12.4 s, now, we have to find the distance you run in that time:

x = x0 + v0 · t + 1/2 · a · t²  

Since x0 and v0 = 0

x =  1/2 · a · t²

x = 1/2 · 0.960 m/s² · (12.4 s)²

x = 73.8 m

You have to run 73.8 m before you reach the rear of the bus.

B) Now, let´s use the equation of velocity to find your velocity at t = 12.4 s.

v = v0 + a · t

Since v0 = 0:

v = a · t

v = 0.960 m/s² · 12.4 s

v = 11.9 m/s

When you catch the bus, your velocity will be 11.9 m/s.

C) The record of Usain Bolt is 12.4 m/s. You would have to run almost as fast as Usain Bolt to catch the bus. So the answer is no, an average college student would not reach the bus.

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.

power out to power in less than 100%