(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

While most people like high speeds on roller coasters, it is actually the change in acceleration that thrills them. To add more thrills to a ride, a roller coaster designer has decided to make the downward descent from his first hill bumpy. The first 49 m of the track will be at an angle of 17 degrees , while the next 28 m will be at a 26 degrees angle. (Both angles measured from the horizontal.) Assuming that the riders started with a speed of 0 m/s at the top of the hill, calculate their speed after they have ridden the first 75m of track?

2. Relevant equations

H x sin = y

3. The attempt at a solution

H x sin = y

Y = 49 x sin 17

Y = 14 m

V = 2 x g x h, square root

V = 2 x 9.81 x 14, square root

V = 274.68, square root

V = 16.6 m/s

H x sin = y

Y = 28 x sin 26

Y = 12 m

V = 2 x g x h, square root

V = 2 x 9.81 x 12, square root

V = 235.44, square root

V = 15.3 m/s

15.3m/s + 16.6m/s = 31.9m/s

Final Speed: 31.9m/s

I was wondering if I did this problem right, and if not how am I supposed to solve it?

p.s. when i write, square root that means there is a square root in the equation :tongue:

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# Homework Help: Calculating the Speed on a Roller Coaster

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