Consider two capacitors with unequal capacitance connected in series to a battery. which of the following statements are true? check all that apply. a the charge stored on each of the capacitors is the same. b the algebraic sum of the voltages across the two capacitors is equal to the voltage supplied by the battery. c the equivalent capacitance of the combination of the two capacitors is less than the capacitance of either of the capacitors. d the voltage across each of the capacitors is the same. e the sum of the charges stored on each capacitor is equal to the charge supplied by the battery. f the equivalent capacitance of the combination of the two capacitors is greater than the capacitance of either of the capacitors.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.