Question about vectors, velocity, time and distance?

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To solve the problem of an arrow fired from a cliff at a 45-degree angle with a velocity of 30 m/s, first resolve the initial velocity into its x (horizontal) and y (vertical) components using trigonometric functions. The time it takes for the arrow to hit the ground can be calculated using the formula for vertical motion, considering the height of the cliff and the acceleration due to gravity. Finally, the horizontal distance from the cliff where the arrow lands can be determined by multiplying the horizontal velocity by the time calculated in the previous step. Relevant formulas include those for projectile motion, such as \( v_x = v \cos(\theta) \) and \( v_y = v \sin(\theta) \). Understanding these concepts will aid in solving the problem effectively.
brandon d
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An arrow is fired at and angle of 45 degrees with a velocity of 30 m/s above the horizontal off the edge of a 3m high cliff.

A) Resolve the initial velocity into its x and y components.
B) Find how long it takes the arrow to hit the ground below the cliff
C) Find how far from the cliff the arrow hits the ground.

PLease give some hints/formulas or ways to show me how to solve this
 
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Have you been given any formulas you think might relate to this problem? What theory have you gone through?
 
We have been doing forulas with stuff like j hat and i hat
Equations with initial and final velocity, time, inital and final displacement and acceleration
 
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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