A projectile is fired from a platform that is moving horizontally with velocity V = (V, 0, 0). The initial velocity of the projectile relative to the platform is u = (U₁, U₂, 0). Show that the range on a horizontal plane through the platform is 2Vu sin 20 +- sin 0, (1) 9 where u = √√√² + u² and 0 is the angle of projection (0 ≤ 0 ≤ ). Determine the value of that makes R a maximum, and calculate Rmax in terms of u, V and g. R(0) : ² sin = 9

A projectile is fired from a platform that is moving horizontally with velocity V = (V, 0, 0). The initial velocity of the projectile relative to the platform is u = (U₁, U₂, 0). Show that the range on a horizontal plane through the platform is 2Vu sin 20 +- sin 0, (1) 9 where u = √√√² + u² and 0 is the angle of projection (0 ≤ 0 ≤ ). Determine the value of that makes R a maximum, and calculate Rmax in terms of u, V and g. R(0) : ² sin = 9

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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A projectile is fired from a platform that is moving horizontally with velocity
V =
(V, 0, 0). The initial velocity of the projectile relative to the platform is
u = (U₁, U₂, 0). Show that the range on a horizontal plane through the platform is
u²
R(6) = sin
2Vu
sin 20 +- sin 0,
(1)
9
9
where u = √√√u?+ u² and 0 is the angle of projection (0 ≤ 0 ≤ ). Determine the
value of that makes R a maximum, and calculate Rmax in terms of u, V and g.

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