A particle moves on a line away from its initial position so that after t hours it is s = 4t^2 + t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.

Question

anonymous · Answer

@Luigi0210 :)

luigi0210 · Answer

Yea, I can't do word problems, sorry bud P:

@welshfella looks like they've got something tho :D

welshfella · Answer

calculate s for t = 1 and t = 4
then find the difference to get the distance travelled in that period of 3 seconds
average velocity = distance  / time

welshfella · Answer

time will equal 3 secnds

welshfella · Answer

sorry  3 hours

anonymous · Answer

can u please show me the steps? :)

anonymous · Answer

ok so i would do
(t=1)
s=5
(t=4)
s=68
? :)

welshfella · Answer

find s for t = 4:
s = 4*(4)^2 + 4 = ?

then do the same for t = 1

then subtract the first calculation from the second

finally divide the result by 3

anonymous · Answer

Do you know how to calcualte the average rate of change?

anonymous · Answer

Use this formula: 

AROC is: F(4) - F(1) / (4 - 1)

anonymous · Answer

alright so its @welshfella 68-5=63/3 = 21? :D

welshfella · Answer

thats it

anonymous · Answer

@Fzxt , okay so its 68-5/3 :) yes

anonymous · Answer

Yep.

anonymous · Answer

So the average velocity is...how do i do the units i think its: 21 mph?

welshfella · Answer

yes

anonymous · Answer

Yep, the units should be mentioned in whatever question you are doing.

anonymous · Answer

THANK U BOTH!!!!!!!

anonymous · Answer

do you guys have time for 5 more? :)

anonymous · Answer

You should make a seperate question.

anonymous · Answer

yeah I will :) thank u for the help on this 1!!!

anonymous · Answer

No problemo.

anonymous · Answer

idk who to choose as best response :P lol