3. An aircraft rolls down a dirt field and takes off with a velocity of 90 mph. It is climbing at a 20" angle. Suddenly the engine quits. Located 150 feet away from where the plane took off, there is a 30-fr tall tree. If the pilot takes no evasive action, can the plane clear the tree? Assume no air resistance. This problem is a very simplified version of FAA requirement for single engine aircraft in the event of engine failure upon take off. Remark: This problem is modeled after the real FAA requirements for single engine aircraft. The requirements are much more complicated but basically it requires that a single-engine aircraft must be able to clear a 35-ft tall obstacles about 300 feet down range in the event of an engine failure. Phong Do Name: 4. An object travels along a trajectory defined by: r =(sin 2t ) + (cos3: ) / where the position is in feet and the time is in second. At f = 6 sec, determine the tangential acceleration |a, |and normal acceleration | a, |