An armoured car with a mass of 5 tonnes is located on a smooth plane which is inclined at an angle of tan-1 (5/12) to the horizontal as shown in Figure Q3. A missile of mass 15kg is fired horizontally from this armoured car at 650m/s. Determine the velocity with which the armoured car will begin to travel up the inclined plane.
I think that a momentum equation needs to be used, but im not sure how to apply that equation to a slope.
The Attempt at a Solution
The answer to the question is 1.8m/s. The closest I have got to it is 1.9m/s. This is my attempt.
0 = mdv - Mv
dv+v = 650m/s
mdv = Mv
mx(650-v) = Mv
15x(650-v) = 5000v
v = (15x650) / (15+5000)
v = 1.94 m/s
At which point do I taken into consideration the angle of the slope?