Question

Two cars are on a straight track. Car A starts at the beginning of the track at time 0 and moves forward. Car B starts at the beginning of the track one minute later and moves forward. The graph below shows the two cars' velocity as a function of time. Consider only the domain. 1) Based on the given domain only, which car travels farther? Why? and 2) Based on the given domain only, do the cars pass each other? Why or why not?

Answer 1

1. A travels farther..

Answer 2

I believe that Car A traveled farther because distance is the area under the curve and it has the most area. I dont know how to do the second question.. i assume it is no

Answer 3

yes...u are right

Answer 4

i mean in the 1st question...

Answer 5

and they wont cross each other

Answer 6

how do you know they dont cross?

Answer 7

if they cross then at some time in the domain both will have covered same distance...

Answer 8

u only told that "distance is the area under the curve"

Answer 9

what about when they intersect?

Answer 10

it does make sense?

Answer 11

intersect does not mean that they will cross each other...at that point both will have the same speed

Answer 12

but at that point both cars are at different position...as area under v-t curve is different for cars A and B

Answer 13

thank you