A projectile is launched at an angle of 60 to the horizontal from 6 ft above the ground at an initial speed of 300 ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Answer parts a through d. a. Find the velocity and position vectors for t20. The velocity vector is v(t) = b. Graph the trajectory. c. Determine the time of flight and range of the object. Notice that the y-component of the position vector, or the height of the vector, will be equal to zero when the object hits the ground. Set the y-component of the position vector equal to zero and solve for t. Use the quadratic formula to solve for t and round to two decimal places. d. Determine the maximum height of the object. Notice that the object will reach its maximum height when the y-component of the velocity vector equals zero. Set the y-component of the velocity vector equal to zero and solve for t. Round to two decimal places