# Finding the acceleration at an angle

"What's the maximum acceleration you can achieve in a a water-slide at a 34 degree angle (If you can't use your arms and legs)"?

This is the free-body-diagram that I drew, assuming $g = 10m/s^2$:

The maximum acceleration is when there is no friction. So when I set friction to zero, the maximum acceleration is just the value of a:

$sin(34^o) = 10/a$

$a = 10 / sin(34^o) = 17.9m/s^2$

However, the book says it's $5.5m/s^2$. What am i doing wrong?

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