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Mathematical Modelling - Projectile Motion

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A projectile is fired with initial velocity v (LT^-1) at an angle θ (M^0L^0T^0) with the horizon. You may expect that the gravity acceleration g (LT^-2) affects R (L) .

a) Use dimensional analysis to understand the dependence of R on v, g, and θ .

b) Describe approximately the influence of θ on R .

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Let, (i) R α va
(ii) R α gb
(iii) R α θ^c
Combining all these factors, we get R = k vagbθc (1)
where k is a dimensionless constant ...

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