What Are the Velocities and Displacement of a Projectile Launched from a Cliff?

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A projectile launched from a 100m high cliff at a 30-degree angle below the horizontal travels 50m horizontally before hitting the ground. The discussion focuses on calculating the initial and final velocities, including their magnitudes and directions, as well as the total displacement of the projectile. Participants emphasize the importance of using projectile motion equations to derive these values. The conversation also encourages sharing prior attempts at solving the problem to facilitate assistance. Understanding these calculations is crucial for analyzing projectile motion in physics.
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A projectile is launched from the edge of a 100m high vertical cliff at an angle of 30 degree below the horizontal. The projectile hits the ground at a distance of 50m from the bottom of the cliff.
-Find the initial and final velocities of the projectile(magnitudes and directions).
-Find total displacement performed by the projectile.
 
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Welcome to PF. What have you attempted so far? I assume you are familiar with projectile equations.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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