A field is on the slope of a hill of inclination45° with horizontal .for irrigation purpose a vertical pole us placed somewhere on the field ,which throws a water jet with velocity v0 horizontally in the direction shown.the plane of motion includes the line of maximum slope on the field .if the pole is 15m high and the water strikes the field perpendicularly.find value of v0: options are ..(a)5m/s (b) 7.5m/s (C) 10m/s (D) 15m/s
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Method 1: Take x-axis along the incline and y-axis perpendicular to it. Resolve the initial velocity and acceleration due to gravity along x and y-axes, then apply the equations of motion separately along both the axes; this is the traditional way of solving such problems which has already been discussed here in other answers. I am going to present here a different way to solve it.
Method 2: You know the triangle law of vector addition; just apply it as done below in the image:
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