A block is projected at 8 m s−1^{-1}−1 up a rough plane inclined at 25∘ 25^\circ\,25∘ to the horizontal. The coefficient of friction is 0.3. Take g=9.8g=9.8g=9.8 m s−2^{-2}−2.
Find the magnitude of the acceleration while the block is moving up the plane.
Find the distance travelled before the block first comes to rest.
Determine whether the block remains at rest, and find its acceleration if it moves again.