Derive an equation for the path of a projectile fired parallel to horizontal
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let the initial velocity be u m/s. angle of projection = 0 initial component of velocity in vertical direction = 0 horizontal
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Answer:
in horizontal projected particle ,
acceleration in horizontal =0
acceleration in vertical = -g
let initial velocity in horizontal =U
★ velocity doesn't change in horizontal
★ velocity of vertical may change
now,
kinematics equation for horizontal
X = Uxt + 1/axt²
X = Uxt +0
X = Ut --------(1)
kinematics equation for vertical
Y = Uyt + 1/2ayt²
Y = 0 -1/2gt²
put equation here
Y = -1/2g(X/U)²
Y = -gX²/2U²
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