Consider the motion of a projectile. It is fired at t = 0. Its initial speed is 27 m/s and its initial projection angle is 45◦ from the horizontal. What is the maximum height of its trajectory? The acceleration due to gravity is 9.8 m/s^2. Answer in units of m.

Asolid round steel rod 6.25 mm in diameter and 375 mm long is rigidly bonded to the end of solid square brass rod 25 mm on a side and 300 mm long. the geometric axes of the bare are along the same line. an axial tensile force of 5.4 kn is applied at the extreme ends of the assembly. for steel e = 200 gpa and for brass e = 90 gpa. determine the total elongation for the assembly.