Santa loses his footing and slides down a frictionless, snowy roof that is tilted at an angle of 27.0 degrees.

Question

If Santa slides 10.0 before reaching the edge, what is his speed as he leaves the roof?

Answer 1

The equations are
x(t)=.5*sin(27)*g*t^2
and v(t)=sin(27)*g*t
the slide time is
10=.5*sin(27)*g*t^2
solve for t and plug into v(t)

This is also easy to solve using conservation of energy

The loss of PE is equal to the gain in KE
m*g*sin(27)*10=.5*m*v^2
divide out m
v=sqrt(20*g*sin(27))
j

Answer 2

i hope he didn't drop my presents. they need to be handled with care