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13 Nov 2019
(1 point) If a projectile is fired with an initial velocity of V meters per second at an angle A above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (V cos(A)1, y= (V sin(A)) â gtâ, where g is the acceleration due to gravity (9.8 m/s2). (a) If a gun is fired with A = 30° and V = 500 m/s, when (in seconds) will the bullet hit the ground? Time t = 51.02 seconds (b) Under the conditions of (a), how far (in meters) from the gun will it hit the ground? Distance = 22092 meters (C) Under the conditions of (a), what is the maximum height (in meters) reached by the bullet? Maximum height = meters (d) Show that the path of the bullet is parabolic by eliminating the parameter to find a Cartesian equation that describes the path. Your answer may depend on V, A, x, y, and g. If g appears in your answer, leave it in - do NOT substitute in g = 9.8 in your answer! y =
(1 point) If a projectile is fired with an initial velocity of V meters per second at an angle A above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (V cos(A)1, y= (V sin(A)) â gtâ, where g is the acceleration due to gravity (9.8 m/s2). (a) If a gun is fired with A = 30° and V = 500 m/s, when (in seconds) will the bullet hit the ground? Time t = 51.02 seconds (b) Under the conditions of (a), how far (in meters) from the gun will it hit the ground? Distance = 22092 meters (C) Under the conditions of (a), what is the maximum height (in meters) reached by the bullet? Maximum height = meters (d) Show that the path of the bullet is parabolic by eliminating the parameter to find a Cartesian equation that describes the path. Your answer may depend on V, A, x, y, and g. If g appears in your answer, leave it in - do NOT substitute in g = 9.8 in your answer! y =
Nelly StrackeLv2
2 Apr 2019