The trajectory of a projectile launched from the origin at an initial speed of v at an angle of 0 degrees to the horizontal is given by the parametric equations x = v cos(0)t 1 + v sin(0)t where g is acceleration due to gravity, typically 32 feet per second per second or 9.8 meters per second per second. Find parametric equations for the trajectory of a golf ball with an initial speed of 80 feet per second at an angle of 60° to the horizontal. Enter either exact value coefficients (in radians!!!) or correct to at least three decimal places.

Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: eliminating the parameter t from the parametric equation x = 3 cost y = 3 sin t, find the…

A: First we square both given equation and then adding both and solve it.

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

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Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

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A: Disclaimer: Since you have posted the sub multiple parts for the questions ,we will solve the first…

Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

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