A stone is launched at t=0 with a speed of 15 m/s from ground level at an angle of 45 degress above the horizontal (positive x direction), aimed at the top of a building. At exactly the same time, a water ballon is dropped from the top of the buliding. THe stone hits the water ballon when the stone is at the maximum height in its parabolic trajectory.
i) draw a suitable diagram, defining your variables and coordinate system
ii) express the velocity vector of the stone at t=0 in i(hat), j(hat) format
iii) express the velocity vector of the stone when it hits the ballon in i(hat), j(hat) format.
iv) how far horizontally from the launch point is the buliding located.
v) how tall is the building?