Using vector to work out the component of the acceleration acting parallel to a bannister

Question

The bannister's is inclined at 30 degree. Determine the exit velocity from a 10 m long bannister which is frictionless.

Answer 1

acceleration parallel to the bannister = g sin(30°) = 4.905 ms^-2

Using Kinematic equations , The final velocity is calculated as

V_f² = V_i² + 2*a*S

V_f = 98.1 ms^-1