Question

Calculus question! I have a picture of the problem in my comments

Answer 1

Pleaseeee explain how you did it, and don't just give me an answer

Answer 2

ok, so the velocity is the ________ of the position function.?

Answer 3

Okay, so about which statements do you know for sure true or false ?

Answer 4

explain why for each , please.

Answer 5

isnt the velocity the first derivative?

Answer 6

idk I really have no idea where to even start. Im really confused

Answer 7

Well, do all the statements that you can first... can you do any of them ?

Answer 8

it is, so, can you find the velocity function?

Answer 9

what do you mean do them?

Answer 10

basically, what we are going to do is look at the answers, and prove whichever true or false by calculaating the correct answer for each

Answer 11

so, if velocity is first derivative of position, can you find the velocity function?

Answer 12

the velocity is -4t + 5

Answer 13

^ i would mark that incorrect because you have to have v(t)=-4t+5 but anywyas so now, is that a constant function?

Answer 14

I dont know how to figure that out

Answer 15

what does it mean for something to be constant?

Answer 16

not changing

Answer 17

so does your velocity change?

Answer 18

no?

Answer 19

the derivative is a line right?

Answer 20

what is your variable?

Answer 21

t

Answer 22

does it change?

Answer 23

no

Answer 24

what does t represent?

Answer 25

the x value?

Answer 26

no, it represents time

Answer 27

so time changes

Answer 28

yup so is the velocity constant?

Answer 29

no

Answer 30

so is a true?

Answer 31

no.

Answer 32

alright that's one down

Answer 33

now let's tackle b

Answer 34

ok

Answer 35

the initial position occurs at t=?