Question

Position velocity questions

Answer 1

A particle is moving in a straight line so that after the seconds it's distance selling from a fixed point of is s (t)= 8t+t^3

Answer 2

1. Find initial velocity
2. Find acceleration at t=2 sec

Answer 3

Physics?

Answer 4

NOPE AP calc

Answer 5

May I help?

Answer 6

please do i really need it. I am suffering from a migrane hear n cant think ni need all the help i can get. Thanks so much for ur help

Answer 7

سلامتك ألف سلامة لك

Answer 8

I ask Allah to heal you and be better than before.

Answer 9

As Salam Alaikum brother

Answer 10

How u know Im Muslim?
Shukran.

Answer 11

As we have the relation between the distance and time, so we can derive it for the first time to get the speed, and the second time for the acceleration.

Answer 12

I did not no!
Are you?
Ma Sha' Allah
My brother oberseas :)

Answer 13

*overseas

Answer 14

i forgot to mention this but the first question was find the velocity and I did that and I got 8+3t

Answer 15

Im a female
U mean Sister.
N im from NY USA

Answer 16

Sorry

Answer 17

its fine! :)

Answer 18

so anyways how can I get to finding the initial velocity

Answer 19

"i forgot to mention this but "
It is not necessary to say that. You have the equation, derive it once and twice to get what you want.

Answer 20

"so anyways how can I get to finding the initial velocity"
initial velocity means put t=0 in the relation of speed and time

Answer 21

Putting t = 0, initial velocity = 8 + 3 ´ 0 = 8 unit /s

Answer 22

Are you ok, @khantahmina?

Answer 23

Great!
You got it!

Answer 24

honestly kind of not bc i got 19 more questions and now MAGHRIB AZAN is going on

Answer 25

so i gotta do SALAh

Answer 26

Pray and come back
Salah is better than anything!

Answer 27

ofcourse ofcourse just waiting for Azan to be finished. give me like 10 mins n ill be back.

Answer 28

Illpray for u to allah n thank him for bringing u as my guidance

Answer 29

السلام عليكم

Answer 30

In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function:
\[f(t) = \frac {5 t^3}{3} - 25 t^2 + 120 t .\]

where t is the number of hours since the trip began. It takes you 8 hours to get to Boston.

a) Find your velocity at time t= 1/2 hrs. (round to the nearest mile)

Answer 31

Is this another question or what?

Answer 32

10) what is your average speed during the first 3 hours of your trip?

Answer 33

you have asked 3 question and I did not answer any!

Answer 34

Thank you for the medal!

Answer 35

ahha *chuckles* I need help wih this one now and i got alot moree

Answer 36

WHich one first?

Answer 37

10) what is your average speed during the first 3 hours of your trip?

Answer 38

as you wish

Answer 39

for this data:?
In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function:
f(t)=5t33−25t2+120t.


where t is the number of hours since the trip began. It takes you 8 hours to get to Boston.

a) Find your velocity at time t= 1/2 hrs. (round to the nearest mile)

?????

Answer 40

i got that part myself and now i need this

10) what is your average speed during the first 3 hours of your trip?

Answer 41

the same data????????

Answer 42

or new data of new question?

Answer 43

same

Answer 44

ok so we have the governing equation of the relation between distance and time
\[f(3)=\frac{ 5(t)^3 }{ 3 }-25(t)^2+120(t)\]
as the average speed means the ration of the total distance traveled to the time elapsed, so we can get the total distance from the equation:
\[f(3)=\frac{ 5(3)^3 }{ 3 }-25(3)^2+120(3)=180\] miles

and the total time is 3 hours.

So we can easily get the aver.vel. as follows
\[V_{aver}=\frac{ dist. }{ time }=\frac{ 180 }{ 3 }=60\] mph

Answer 45

thank uuuu!!!!

Answer 46

11. Find the velocity at t= (1/2)

Answer 47

Important note:
It must be a straight line movement to use the previous illustration as position indicates directly the distance between the start and the end point, but in case of other than straight line, it would not be correct approach!