A block of mass 1.5kg is projected up a rough incline with an initial speed of 4ms−1. The incline makes an angle of 30∘ to the horizontal and the coefficient of kinetic friction between the block and the plane is 0.20. Neglect air resistance.
a. (i) Write the equation of motion of the block along the plane during its upward motion and hence find its retardation.
b. (ii) Determine the distance travelled by the block up the plane before it comes momentarily to rest.
c. (iii) Calculate the time taken by the block to come to rest after it is projected.