Q1. As a new mechanical engineer for Engines Inc., you have been assigned to design brass pistons to slide inside steel cylinders. The engines in which these pistons would be used will operate between 27.0 and 160.0. Suppose that the coefficients of expansion are constant over this temperature range. If the cylindrical pistons are 25.000 in diameter at 27.0, what should be the minimum diameter of the cylinders at that temperature so the pistons will operate at 160.0?
Q2. A speedboat starts from rest and accelerates at +2.01 m/s2 for 6.95 s. At the end of this time, the boat continues for the additional 5.70 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at -1.49 m/s2 for 8.20 s.
(a) What is the velocity of the boat at t = 20.75 s?
(b) Find the total displacement of the boat.