Question

@SolomonZelman

Answer 1

take your tam

Answer 2

yes, the wrong one we just did xD

Answer 3

There she is!

Answer 4

yes, so we have to realize the following.

acceleration is f``(x)
velocity is f`(x)
position is (just) f(x)

Answer 5

your acceleration function is given by
a(t)=e^t
which is same as
f``(x)=e^t

Answer 6

so, to get the velocity from acceleration, you will have to integrate the acceleration function.

Answer 7

what is the integral of e^t (HINT: derivative of e^t is e^t, so what does that tell us about the integral of e^t (??) )

Answer 8

e^t+C would be the velocity then, no?

Answer 9

yes

Answer 10

v(t)=e^t+C

Answer 11

use the fact that v(0)=18 to solve for C.

Answer 12

C = 17

Answer 13

yes

Answer 14

v(t)=e^t+17

Answer 15

now, (you have probably recognized that without me) you will need to integrate the velocity function to get the position funciton.

Answer 16

((don't be ever afraid to interrupt me...))

Answer 17

would be e^t+17t+C, correcto-mundo?

Answer 18

perfect !

Answer 19

Now, what is your next step, do you now ?

Answer 20

Know*

Answer 21

plug in s(0)=2!

Answer 22

yes

Answer 23

Got it, thanks a ton for your help tonight! I didn't understand this!

Answer 24

e^t+17t+1

Answer 25

well... the main thing that now you do.
(also you can think of acceleration as concavity for position,
and think of velocity as position's slope (and slope=derivative) )

Answer 26

yes, s(t)=e^t+17t+1

Answer 27

good night!

Answer 28

Thanks again!!

Answer 29

anytime!