Write careful, complete solutions for the following problems and submit them accordingto Directions for Submitting Written Assignments, under Orientation to Online MATH 151in the Canvas classroom. All answers have to be exact, not using decimals. As always inwritten work, bare answers will count as "no answer": you have to show all yourwork, including intermediate steps, and explain how you reached your conclusion.No exceptions: skipped steps will cause the answer to be discarded.

1 If an object is thrown with an initial velocity of no 111/ sec, at an angle or above the horizontal, and air friction is negligible, its position from the point of launch (0,11,) (It being the initial height over the ground) after t seconds is given by parametric equations 1 m(t) = no cos(a)t,y(t) = h + vosin(a)t gt2 where g = '9.8'rr.-,/s2 is gravity acceleration. 1. What is the highest the object will y? 2. Show that the object will follow a parabolic trajectory y(:1:) 3. How far will the object land? 4. What angle a will cause the object to land farthest for a xed initial velocity an? Answer for the case h = 0. Note The assumption of negligible air friction is crucial for your results, but is unrealistic under almost any circumstance