Kinematics(Find Distance Between 2 curves)

[DarkPhoenix]

https://www.physicsforums.com/attachment.php?attachmentid=21003&stc=1&d=1255013927

I need help for number 1(b)

State the distance between the two athletes as the winner passes the 100 m mark.

Tried to find the are under graph, but does not work.

Thanks.

 

[Andrew Mason]

https://www.physicsforums.com/attachment.php?attachmentid=21003&stc=1&d=1255013927

I need help for number 1(b)

State the distance between the two athletes as the winner passes the 100 m mark.

Tried to find the are under graph, but does not work.

Thanks.

I can't view your graphs but I expect they show two curves on a speed vs. time graph, one for each runner both starting from (0,0).

The area under each graph gives the distance. What you have to do is find the time when the area (= speed x time = distance) under the winner's graph is equal to 100 m. Then calculate the area under the loser's graph at that time to find the loser's distance.

AM