Starting from Equation (4c) and Equation (4c') and with the conditions in projectile otions (Refer to the module), show that (Vxo)² sin(200) g x = Range = nt: sin(20) = 2 sin(80) cos (80) stify that the range of the projectile is maximum if 80 = 45.0° using this equation.

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Chapter33: Particle Physics
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2. Starting from Equation (4c) and Equation (4c) and with the conditions in projectile
motions (Refer to the module), show that
x = Range =
(Vxo)² sin(200)
g
Hint: sin (200) = 2 sin(80) cos (0)
Justify that the range of the projectile is maximum if 0o = 45.0° using this equation.
Transcribed Image Text:2. Starting from Equation (4c) and Equation (4c) and with the conditions in projectile motions (Refer to the module), show that x = Range = (Vxo)² sin(200) g Hint: sin (200) = 2 sin(80) cos (0) Justify that the range of the projectile is maximum if 0o = 45.0° using this equation.
(4b)
(4b')
(4c)
(4c')
(4d)
(4d')
X = Xo + ¹/2 (Vxo +Vx) t
y = yo + ¹½ (Vyo + Vy) t
X = Xo + Vxot + ½ axt²
y = yo + Vyot + ½ ayt²
vx² = Vxo² + 2ax(x-xo)
2
vy² = Vyo² + 2ay(y-yo)
Transcribed Image Text:(4b) (4b') (4c) (4c') (4d) (4d') X = Xo + ¹/2 (Vxo +Vx) t y = yo + ¹½ (Vyo + Vy) t X = Xo + Vxot + ½ axt² y = yo + Vyot + ½ ayt² vx² = Vxo² + 2ax(x-xo) 2 vy² = Vyo² + 2ay(y-yo)
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