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Since the wedge is mentioned to be without any friction, so we assume that the surface is frictionless.
Now, the linear distance covered by the wedge should be equal to the range of the projectile with given conditions.

So, sin 2(theta)/g = v t

putting u = ; = 60 ; g = 10 m/s  ; v =

The answer should be 1.5 seconds.

The data about inclination of wedge is not required as it is in linear motion.