Question

Fundamental theorum

Answer 1

@Hero @Luigi0210 @SolomonZelman

Answer 2

the particle starts 2 units left of the origin and moves right to the max, then back to the left to the min, and lastly right to t = 5

find the derivative, find the max and min values

then it might be the sum of the distances

-2 to max, max to min and lastly min to t = 5

Answer 3

one easy option to help is to graph the function

https://www.desmos.com/calculator

look at the y-values...

Answer 4

graph the one for 97 or 98

Answer 5

? @campbell_st

Answer 6

well and the max is at t = 1 where x(1) = 2

min at x =3 x(3) = -2

t = 5 x(5) = 18

so for mine it move 28 units

unless you need to find the length of the curve between t = 0 and t = 5

for the 2nd curve 98

I've attached a graph... its in terms of x and not t.... but the horizontal should be t and the vertical x(t)

Answer 7

Thanks for everything. So it travels 16 units ?