A projectile fred from the point (0.0) at an angle to the positive x-axis has a trajectory given by y = Cx − (1 + c²) (2) (²³. In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g = 9.81 m/sec² is the acceleration due to gravity, and C> 0 is a constant determined by the angle of elevation. A howitzer fires an artillery round with a velocity of 874 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 163 meters high at a distance of 1911 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type your answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.) (b) If the goal in part (a) is to hit a target on the ground 70 kilometers away, is it possible to do so? If so, for what values of C? If not, what is the maximum distance the round will travel? Select the correct choice below and fill in the answer box to complete your choice. OA. No it is not possible. The maximum distance the round will travel is m. B. Yes, it is possible for the value(s). (Use a comma to separate answers as needed. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
A projectile fred from the point (0.0) at an angle to the positive x-axis has a trajectory given by y = Cx − (1 + c²) (2) (²³. In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g = 9.81 m/sec² is the acceleration due to gravity, and C> 0 is a constant determined by the angle of elevation. A howitzer fires an artillery round with a velocity of 874 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 163 meters high at a distance of 1911 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type your answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.) (b) If the goal in part (a) is to hit a target on the ground 70 kilometers away, is it possible to do so? If so, for what values of C? If not, what is the maximum distance the round will travel? Select the correct choice below and fill in the answer box to complete your choice. OA. No it is not possible. The maximum distance the round will travel is m. B. Yes, it is possible for the value(s). (Use a comma to separate answers as needed. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
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A projectile fired from the point (0,0) at an angle to the positive x-axis has a trajectory given by y = Cx- (1+c²)
meters, v is the initial velocity in meters per second, g = 9.81 m/sec is the acceleration due to gravity, and C> 0 is a constant determined by the angle of elevation.
A howitzer fires an artillery round with a velocity of 874 m/sec. Answer parts (a) and (b).
(a) If the round must clear a hill 163 meters high at a distance of 1911 meters in front of the howitzer, what C values are permitted in the trajectory equation?
(Type your answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
(b) If the goal in part (a) is to hit a target on the ground 70 kilometers away, is it possible to do so? If so, for what values of C? If not, what is the maximum distance the round will travel? Select the
correct choice below and fill in the answer box to complete your choice.
$
O A. No it is not possible. The maximum distance the round will travel is m.
B.
Yes, it is possible for the value(s)
(Use a comma to separate answers as needed. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
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