Question

A block slides down a frictionless plane having an inclination of 14.3°.

If the block starts from rest at the top and the length of this incline is 1.77 m, find the acceleration of the block.

b)What is the block's speed when it reaches the bottom of the incline?

i found the acceleration, but i don't know how to find the final velocity. is there a formula that i should use?

Answer 1

If the acceleration is "a", the speed V after travelling a distance X, after starting from rest, is
V = sqrt(2aX)

You can derive this yourself using
V = a t
X = (1/2) a t^2
t = sqrt (2X/a)
and substituting for t in the V = at equation.