An ancient warship once covered 180 sea miles in 24 hours. explain why at some point during this feat the ship's speed exceeded 7.3 knots (sea miles per hour).

Average speed is 184/24 = 7.667 knots

Explanation:

The average speed is 184/24 = 7.667 knots and by the Mean Value Theorem that speed must have been traveled at some point.

Mean value theorem :

It states that if f(x) is defined and continuous on the interval [a,b] and differentiate-able on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that:

f'(c)=(f(b)-f(a))/(b-a)

two charges are fixed in place on the x-axis as shown. the charge at x = 0 is negative and has magnitude q = 2 μcoulombs (1 μcoulomb = 10-6 coulombs). the charge at x = d, (d = +12 cm), is positive and has magnitude q = 4 μcoulombs. find a point x = xo along the x-axis at which the electric field is zero.