Starting from rest several toy cars roll down ramps with differinglengths and an

Question

Starting from rest several toy cars roll down ramps with differinglengths and angles. Rank them by their speed to the bottom ofthe ramp from the slowest to fastest. Car A goes down a 10 mramp inclined at 15 degrees, car B goes down a 10 m ramp inclinedat 20 degrees and car D goes down a 12 m ramp inclined at 12degrees. For this question I know that its solved using trig functions,but I am having trouble understanding how to start the problem. Can anyone help give a quick review of right triangles andhow to solve this problem? Thanks! :) For this question I know that its solved using trig functions,but I am having trouble understanding how to start the problem. Can anyone help give a quick review of right triangles andhow to solve this problem? Thanks! :)

Explanation / Answer

Assuming friction is negligible, the speed will depend on theheight of the top of the ramp above the ground. For length L andangle A this is given by LsinA. A 10 x sin15 = 2.59 B 10 x sin20 = 3.42 D 12 x sin12= 2.49 Answer D,A,B

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