If a projectile is fired with an initial velocity v at an angle of inclination 0...

 

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If a projectile is fired with an initial velocity v at an angle of inclination 0 from the horizontal, then its trajectory, neglecting air resistance, is the parabola y (tan 0) r 2², 0<0<: 2 2u? cos? 0 (a) Suppose the projectile is fired from the base of a yA plane that is inclined at an angle a, a > 0, from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by 20? cos 0 sin(@ – a) g cos? a R(0) = (b) Determine e so that R is a maximum. (c) Suppose the plane is at an angle a below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R. If a projectile is fired with an initial velocity v at an angle of inclination 0 from the horizontal, then its trajectory, neglecting air resistance, is the parabola y (tan 0) r 2², 0<0<: 2 2u? cos? 0 (a) Suppose the projectile is fired from the base of a yA plane that is inclined at an angle a, a > 0, from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by 20? cos 0 sin(@ – a) g cos? a R(0) = (b) Determine e so that R is a maximum. (c) Suppose the plane is at an angle a below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R. If a projectile is fired with an initial velocity v at an angle of inclination 0 from the horizontal, then its trajectory, neglecting air resistance, is the parabola y (tan 0) r 2², 0<0<: 2 2u? cos? 0 (a) Suppose the projectile is fired from the base of a yA plane that is inclined at an angle a, a > 0, from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by 20? cos 0 sin(@ – a) g cos? a R(0) = (b) Determine e so that R is a maximum. (c) Suppose the plane is at an angle a below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R. If a projectile is fired with an initial velocity v at an angle of inclination 0 from the horizontal, then its trajectory, neglecting air resistance, is the parabola y (tan 0) r 2², 0<0<: 2 2u? cos? 0 (a) Suppose the projectile is fired from the base of a yA plane that is inclined at an angle a, a > 0, from the horizontal, as shown in the figure. Show that the range of the projectile, measured up the slope, is given by 20? cos 0 sin(@ – a) g cos? a R(0) = (b) Determine e so that R is a maximum. (c) Suppose the plane is at an angle a below the horizontal. Determine the range R in this case, and determine the angle at which the projectile should be fired to maximize R.