1.An equal-tangent crest vertical curve is designed for 70 mi/hr. The high point is at elevation 1011.4 ft. The initial grade is +2% and the final grade is -1%. What is the elevation of the PVT? Solve this problem with the parabolic equation rather than by using offsets.
2.Jose is swinging a small bucket of water by a rope over his head at a constant angular speed of ?dot=10rad/s. The rope is Length L=1m and the combined mass of the bucket and water is 4kg. a) Calculate the tension in the rope when ?=60 degrees. b) Wat is the magnitude of the bucket's acceleration at this instant