What does height depend on a projectile motion besides gravity?

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Height in projectile motion is influenced by factors beyond gravity, primarily the initial velocity and launch angle. A higher initial velocity results in greater maximum height, while the angle of projection determines the trajectory and height achieved. For example, a ball thrown at 100 ft/min will reach a significantly greater height than one thrown at 1 ft/min. Additionally, if the initial velocity is zero, the projectile will not ascend at all. Understanding these variables is crucial for analyzing projectile motion effectively.
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what does height depend on a projectile motion besides gravity?
 
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What would you think could matter?
 
?

i know the angle makes a difference. but i don't know about time and velocity
 
Suppose you throw a ball straight up at 1 ft/min and another at 100 ft/min. Will they both go the same height? Does (initial) velocity matter? (And if you are not sure consider a real extreme- suppose you throw the ball with initial velocty 0 ft/min?)
 
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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