Question

For the position function s(t) =-16t^2 + 90t + 60, make a table of average velocities and then make a conjecture about the instantaneous velocity at t=4

Answer 1

Time Interval
[3,4]
[3.9,4]
[4,5]
[4,4.1]

Answer 2

@jim_thompson5910

Answer 3

what's the avg velocity from t = 3 to t = 4?

Answer 4

any ideas?

Answer 5

nope

Answer 6

remember the formula

m = (f(x2) - f(x1))/(x2 -x1)

we used earlier?

Answer 7

so do i 3-4/3-4?

Answer 8

f(x) = -16x^2 + 90x + 60

so f(3) = ???

Answer 9

186?

Answer 10

now what is f(4)

Answer 11

164

Answer 12

is the answer 22?

Answer 13

more like -22

Answer 14

ok i'm getting it

Answer 15

AROC = (f(x2) - f(x1))/(x2 - x1)


AROC = (f(4) - f(3))/(4 - 3)


AROC = (164 - 186)/(4 - 3)


AROC = (-22)/(1)


AROC = -22


Note: AROC stands for Average Rate Of Change

Answer 16

Jim...your the best!!!

Answer 17

glad to be of help