Recall that the flight of a projectile can be modeled with the parametric equations:
, where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet.
A missile is fired from a ship at an angle of 56°, an initial height of 18 feet above the water's surface, and at a speed of 4430 feet per second. Will it be able to hit a target that is 2.4 miles away?

Question

Recall that the flight of a projectile can be modeled with the parametric equations:

,

where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet.
A missile is fired from a ship at an angle of 56°, an initial height of 18 feet above the water's surface, and at a speed of 4430 feet per second. Will it be able to hit a target that is 2.4 miles away?

Quizplus · Accepted Answer

The Answer of Recall that the flight of a projectile can be modeled with the parametric equations: , where t is in seconds, ν_o is the initial velocity, θ is the angle with the horizontal, and x and y are in feet. A missile is fired from a ship at an angle of 56°, an initial height of 18 feet above the water's surface, and at a speed of 4430 feet per second. Will it be able to hit a target that is 2.4 miles away?

Recall That the Flight of a Projectile Can Be Modeled