"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?