Answer Happy

the x-axis points east, the y-axis points north, the positive z-axis is vertical (opposite g ), and the ground is horizontal. Answer parts a through d.
a. Find the velocity and position vectors for t≥0. The velocity vector is v(t)=⟨300,3t+500,−9.8t+600⟩ The position vector is r(t)=⟨300t,1.5t2+500t,−4.9t2+600t+15⟩. b. Make a sketch of the trajectory. Choose the correct graph below. Λ c. Determine the time of flight and range of the object. The rocket is in the air for seconds. (Type an integer or decimal rounded to two decimal places as needed.) The range of the rocket is meters. (Type an integer or decimal rounded to two decimal places as needed.) d. Determine the maximum height of the object. The maximum height of the rocket is meters. (Type an integer or decimal rounded to two decimal places as needed.)