A quarterback takes the football from the line of scrimmage, runs backwards for 12.0 yards, and then runs 5.7 yards at an angle 52 north of west; he keeps looking, but cannot find anyone open, so he decides to make a break for it. He runs 38.8 yards at an angle of 12 east of north to score a touchdown. What is the displacement of the football from the line of scrimmage to the end zone, where the quarterback scored for his team?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r