Physics, 20.11.2019 14:31 chris3487

Afootball player runs directly down the field for 35 m before turning to the right at an angle of 25 degrees from his original direction and running an additional 15 m before getting tackled. what is the magnitude and direction of the runners’ total displacement?

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Answer from: LanBon02

The magnitude of the displacement is 48.97 m and direction is $7.4^{\circ}$ to the right of his original position.

Explanation:

Given values

A distance ran by football player = 35 m

B distance ran additionally = 15 m

θ angle turned by the football player = 25°

Calculating magnitude:

Total displacement is “c” and calculated by

$C^{2}=\left(C_{x}^{2}+C_{y}^{2}\right)$

Where,

$C_{x}=A_{x}+B_{x}$

$C_{y}=B_{x}+B_{y}$

$A_{x}=0, A_{y}=35$

$B_{x}=B \sin \theta$

$\mathrm{B}_{\mathrm{y}}=\mathrm{B} \cos \theta$

Now, $C_{x}=A_{x}+B_{x}$

$C_{x}=0+15 \sin 25^{\circ}$

$C_{x}=15 \times 0.422$

$C_{x}=6.33 \mathrm{m}$ and

$C_{y}=A_{y}+B_{y}$

$C_{y}=35+15 \cos 25^{\circ}$

$C_{y}=35+25 \times 0.906$

$C_{x}=35+13.59$

$C_{y}=48.6 \mathrm{m}$

Total displacement is

$c=\sqrt{\left(c_{x}^{2}+c_{y}^{2}\right)}$

$C=\sqrt{6.33^{2}+48.6^{2}}$

$\mathrm{C}=\sqrt{40+2361.96}$

$C=\sqrt{2401.96}$

C = 49 m

Calculating Direction:

$\tan \Phi=\frac{C_{x}}{C_{y}}$

$\Phi=\tan ^{-1}\left(\frac{C_{x}}{C_{y}}\right)$

$\Phi=\tan ^{-1}\left(\frac{6.33}{48.6}\right)$

$\Phi=\tan ^{-1} 0.13$

$\Phi=7.4^{\circ} \text { to the right of down field }$

The magnitude of the displacement is 48.97 m and direction is $7.4^{\circ}$ to the right of his original position.

Answer from: Quest

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.

Answer from: Quest

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

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