Can someone please help me with this simple question?
I don't understand why the greatest height reached (if a particle is projected) occurs when the vertical component of the velocity is 0.
Wouldn't it make more sense if the greatest height reached is when the vertical displacement is at a maximum?
Any help will be greatly appreciated!!!!
I don't understand why the greatest height reached (if a particle is projected) occurs when the vertical component of the velocity is 0.
Wouldn't it make more sense if the greatest height reached is when the vertical displacement is at a maximum?
Any help will be greatly appreciated!!!!
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say a particle is projected at an angle of 45 degrees ( it doesnt matter what angle)
the particles velocity will have a vertical component and a horizontal component.
the horizontal component decides how far the particle horizontally travels because it is unaffected (assuming no air resistance)
now the vertical component is the component that will decide how high it vertically travels. this component is only affected by gravity, so say the particle has an initial vertical velocity of 30 m/s.
this particles vertical velocity will initially be 30 m/s then gravity will slow it down (at a rate of 9.8 m/s) gravity will continue to act on the particles vertical velocity and at some point it will equal zero (at the max height) and the the vertical velocity will start to return back to what it initially was (30 m/s) but in the opsite direction.
i hope that cleared things up for you
the particles velocity will have a vertical component and a horizontal component.
the horizontal component decides how far the particle horizontally travels because it is unaffected (assuming no air resistance)
now the vertical component is the component that will decide how high it vertically travels. this component is only affected by gravity, so say the particle has an initial vertical velocity of 30 m/s.
this particles vertical velocity will initially be 30 m/s then gravity will slow it down (at a rate of 9.8 m/s) gravity will continue to act on the particles vertical velocity and at some point it will equal zero (at the max height) and the the vertical velocity will start to return back to what it initially was (30 m/s) but in the opsite direction.
i hope that cleared things up for you
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The vertical displacement is at a maximum when the rate of change of vertical displacement is zero. That is, when the vertical velocity is zero. (Velocity is the rate of change of displacement.)