Question 6: A magnetized pellet is fired from an accelerating machine at the height of 3 meters above ground and with initial velocity of v = (30,30,80) m/s. The accelerating machine also gives the pellet a spin that produces a horizontal acceleration of 5 m/s² in a direction directly north. (a) Find the velocity and then the position functions of the pellet for times t≥ 0. (b) Determine the time of flight and range of the pellet. (c) Determine the maximum height of the pellet..

Question 6: A magnetized pellet is fired from an accelerating machine at the height of 3 meters above ground and with initial velocity of v = (30,30,80) m/s. The accelerating machine also gives the pellet a spin that produces a horizontal acceleration of 5 m/s² in a direction directly north. (a) Find the velocity and then the position functions of the pellet for times t≥ 0. (b) Determine the time of flight and range of the pellet. (c) Determine the maximum height of the pellet..