Question

need help on the attachment @Calculus1

Answer 1

is there a question ur supposed to answer?

Answer 2

yes, What is the total distance walked by the
student from time t = 0 to t = 10?

Answer 3

do u understand integration?

Answer 4

before i proceed?

Answer 5

yes

Answer 6

Sonofa_nh you still there?

Answer 7

ya i'm on the phone and looking at this at the same time

Answer 8

oh, ok sorry

Answer 9

???

Answer 10

alright sorry

Answer 11

so we have to bust this graph up into a bunch of triangles basically

Answer 12

area of a triangle is 1/2base * height

Answer 13

so we start with 1/2(1 -0)(2)

Answer 14

because thats where the graph changes u understand?

Answer 15

or i should say that's where the person or whatever that is....is accelerating

Answer 16

then from 1 second to 4 seconds...the speed is constant....so it's 1/2(4-2)(2)

Answer 17

then 1/2(7-4)(6)

Answer 18

then 1/2(10-8)(-3)

Answer 19

now you got 1 giant formula of 1/2(1-0)(2)+1/2(4-2)(2)+1/2(7-4)(6)+1/2(10-8)(-3)

Answer 20

so your total change in distance is 9 meters

Answer 21

given information is at 3 seconds he's 50 yards....at 7 seconds he's at 150 yards which is 240

Answer 22

are you saying that the big equation up there equal 9 meter when you calculate it?

Answer 23

notice he's decelerating.....so 240 - 9 should be 231

Answer 24

yea welcome to calc 2

Answer 25

and if u have to take calc based physics they jam this type of stuff down ur throat ever class

Answer 26

how did you automatically assume 240?

Answer 27

it says there's extra information in the picture...at 3 seconds he's gone 50 yards and at 7 seconds he's at 190 yards..so total distance by student covered is 240 yards

Answer 28

I'm in calculus differential and integral calculus in college and this is way tougher then the calculus in high school I guess because I'm on accelerated pathway

Answer 29

but after 7 seconds he's returning toward the origin so he's changed direction

Answer 30

that's what the slope going down toward the negative means...basically if it's positive...he's walking away from where he started...if it's going down...he's returning to the original spot

Answer 31

what about if said how far is the student from the RLM build-
ing when he turns back?

Answer 32

so if he's covered 240 yards in 7 seconds...he changes direction and comes backwards for 3 seconds

Answer 33

best way to see this graph...someone leaves the house...they jog for 1 second....walk for the next few seconds...then start running..the realize they forgot something at the house and turn around and start running home

Answer 34

if it says how far before he turns back...you would only calcuate distance traveled to 7 seconds

Answer 35

i.e area under the curve

Answer 36

so would that be 220 for his distance from the RLM building

Answer 37

???