Question

Two cars leave an intersection at the same time. One is headed south at a constant speed of 40 miles per hour, the other is headed west at a constant speed of 30 miles per hour (see the figure). Express the distance d between the cars as a function of the time t. (Hint: At t = 0 the cars leave the intersection.)

d(t)=

Answer 1

two car makes a right triangle
South car=<0,-40t>
west car= <-30t,0>
distance formula =\[\sqrt{1600 t^2+900 t^2}\]

Answer 2

sweet thanks (:

Answer 3

go all out! lets simplify that kid:
\[\sqrt{1600t^{2}+900t^{2}} = \sqrt{t^{2}(2500)} = 50t\]

Answer 4

woo hoo! bonus points!

Answer 5

thats how we roll