Two identical twins, Amy and Beatrice, are on top of two different slides, one on each slide. Both slides start 3 m above the ground and end 0.5 m above the ground. Amy's slide is a straight, 45 degree slide with height given by h=−x+3 (so it starts at x=0 with a height of three meters and ends at x=2.5 with a height of half a meter). Beatrice's slide is curved and the height is given by h=3/(1+x) (so it starts at x=0 and ends at x=5). Both slides are frictionless.

Question

If both twins start from rest at the top of their slides, what is the ratio of Amy's speed to Beatrice's speed at the bottom of the slides? i.e., what is vAmy/vBeatrice?

Answer 1

Shame on you Keshav!!! Cheating on Brilliant!!! This site is meant to be a platform to practice your own skills, not to copy paste the questions and get free answers and then get incentives without effort. So either play fair and be honest or leave this site. People like you are shame to the Brilliant community. And to the others, please give the answer to this problem after Monday 10/6/2013, so that this cheat doesn't get the opportunity to cheat.

By the way do you even understand the problem fully?

Answer 2

Thanks for noticing, Shame. As such we have started tracking keshav's and mathlover's account( i.e. we are searching which accounts got these problems, and we are searching which accounts entered exactly the answers posted here, even if they are wrong at moreorless the same time or date). Currently we have pinpointed about nine possibilities for keshav's account. A few more posts and he will be ours. Thanks for your cooperation, Shame.

-Calvin
Brilliant Maths Challenge Master