More physics kinematics problems

AI Thread Summary
To solve the kinematics problem, first determine the time it takes for the ball to fall from the top of the 24.4 m building using the initial speed of 12 m/s. This time will indicate when the person must reach the base of the building. Knowing the distance of 32.4 m that the person needs to cover, calculate the average speed required to arrive at the same time as the ball. By using the formula for average speed, the necessary velocity can be derived from the distance and time calculated. Understanding the relationship between time, distance, and speed is crucial for solving similar problems.
rockmorg
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Hey all -

I seem to be struggling overall with problems that are giving two sets of data and what not, for example -

A ball is thrown upward from the top of a 24.4 m tall building. The ball's initial speed is 12 m/s. At the same instant, a person is running on the ground at a distance of 32.4 m from the building. What must be the average speed of the person if he is to catch the ball at the bottom of the building?

I just sit and look at this problem and I die... any help??

Thanks,
-
Morgan
 
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ok think about this...
How long will the ball take to reach the bottom of the building? At that very instant the person below has to be at the bottom of the building. You can calculate the time it takes for the ball to reach the ground. You know the distnace the person has to cover.. and the time.. thus u can find his velocity
 
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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