Two identical shells are fired from a point on the ground with same muzzle velocity at angles of elevation = 45º and = tan –1 3 towards top of a cliff, 20 m away from point of firing.

(i)If both the shells reach the top simultaneously, calculate

(ii) Muzzle velocity,

(iii) Height of the cliff, and

(iv) Time interval between two firings If just before striking the top of cliff the two shells get stuck together, considering elastic collision of combined body with the top, calculate

(iv) Maximum height reached by the combined body. (g = 10 ms –2 )