Define projectile. And explain more about it (oblique etc)
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» Projectile
It is a name given to a body thrown with some initial velocity with a horizontal direction and then allowed to move in a two dimensions under the action of gravity alone without being propelled by an external agent.
» Projectile given horizontal projection
1) Path of projectile along x - axis
x = ut
t = x/u ...(1)
• Along y - axis
y = ½ g x²/u²
y = kx² (from 1)
This equation is perabola. Thus path is perabolic.
2) Time of flight
T = √2h/g
3) Horizontal Range
R = u√2h/g
4) Velocity of object at any instant
= u
= gt
v = √
v = √u² + g²t²
• direction
β = tan-1 ( )
β = tan-1 (gt/u)
» Oblique projection
1) Path of projectile
• Motion along x - axis
x = (u cosØ) t
t = x/u cosØ ....(1)
• Motion along y - axis
y = (u sinØ) t - ½ gt²
y = u tanØ × ½ g (x²/u² cos²Ø) (from 1)
y = x tanØ - kx²
This equation is perabola and path is perabolic.
2) Time to flight
T = 2u sinØ/g
3) Maximum vertical height
H = u² sin²Ø/2g
4) Horizontal Range
R = u²/g (sin 2Ø)
5) Velocity at any instant
= u cosø
=
v = √
v = √u² + g²t² - 2u sinØ gt
• direction
tan β = u sinØ - gt/u cosØ
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The projectile is any object thrown into space upon which the only acting force is gravity. ... A baseball batted or thrown and the instant the bullet exits the barrel of a gun are all examples of the projectile
It's 3 types : the bullet, the round ball, and shot—are used in muzzleloaders.
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