Answer Happy

the positive z-axis is vertical (opposite g ), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Make a sketch of the trajectory. c. Determine the time of flight and range of the bullet. d. Determine the maximum height of the bullet.
a. The velocity vector is v(t)=⟨150⊤,150⊤,−9.8t⟩. (Simplify your answers. Use integers or decimals for any numbers in the expressions.) The position vector is r(t)=⟨150t,150t,−4.9t2+6⟩. (Simplify your answers. Use integers or decimals for any numbers in the expressions.) b. Choose the correct sketch below. c. The time of flight is s. (Type an integer or decimal rounded to three decimal places as needed.) The range is m. (Type an integer or decimal rounded to three decimal places as needed.) d. The maximum height is 6 m. (Type an integer or decimal rounded to three decimal places as needed.)