Question

Given s=t^2-5t+6
calculate the distance travelled,in m,in the fifth second. @jim_thompson5910

Answer 1

What are the roots (x intercepts) of y = x^2 - 5x + 6 ?

Answer 2

x=3 and x=2

Answer 3

actually, s is often a position function. Is that what your book is saying?

Answer 4

yess ^

Answer 5

so,what should we do next?

Answer 6

one moment

Answer 7

calculate s5-s4
i.e.,t=5 and t=4

Answer 8

okay,i think i got it.. ^
Thank you @jim_thompson5910 @sshayer :)

Answer 9

if you graphed y = x^2-5x+6, you'll find that the min is (2.5, -0.25)

the largest y gets on the interval [0,5] is y = 6
the smallest y gets is y = -0.25

the distance between those two y values is what?

Answer 10

is it 6.25?

Answer 11

yes so on the first half of the parabola, you go 6.25 and the same for the second half

2*6.25 = 12.5 is the total distance traveled

Answer 12

okay..