Provide an appropriate response.A projectile is launched from the ground with an initial velocity of v0 feet per second at an angle of ?° above the horizontal. Write parametric equations in terms of v0 and ? that model the flight of the projectile. Explain how you would use these equations, for given values of v0 and ?, to determine the horizontal distance traveled by the projectile.

Question

What will be an ideal response?

Answer 1

x = (v₀ cos ?)t, y = (v₀ sin ?)t - 16t²;
First, solve (v₀ sin ?)t - 16t² = 0 for t to determine the time, t_f , that the projectile is in flight. This gives  Then, substitute this value of t_f into x = (v₀ cos ?)t to determine the horizontal distance traveled in this time.