Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at an angle α with respect to the horizontal. When it eventually lands on the incline, let its velocity make an angle θ with respect to the horizontal. Obtain the (a) angle θ, (b) the value of α that yields the minimum value of θ, and (c) the corresponding value of this minimum θ. (d) If a rock is thrown at the top of the same incline, what angle θ from the horizontal should rock be thrown so that it has the greatest range?

Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at an angle α with respect to the horizontal. When it eventually lands on the incline, let its velocity make an angle θ with respect to the horizontal. Obtain the (a) angle θ, (b) the value of α that yields the minimum value of θ, and (c) the corresponding value of this minimum θ. (d) If a rock is thrown at the top of the same incline, what angle θ from the horizontal should rock be thrown so that it has the greatest range?

Name: Consider a projectile fired with an initial velocity perpendicular toa
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Description: Consider a projectile fired with an initial velocity perpendicular toan incline sloping downward at an angle α with respect to the horizontal. When it eventuallylands on the incline, let its velocity make an angle θ with respect to the horizontal. Ob

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...

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