A student redid the experiment of mixing room temperature water and warm water. This time, she used half the original amount of warm water. How will
the final temperature be different?
A. It will be lower, because the amount of water in the mixture will be
less.
B. It will be higher, because all parts of the mixture will end up at the
same temperature.
C. It will be the same, because all parts of the mixture will end up at
the same temperature.
D. It will be lower, because less thermal energy is transferred to the
room-temperature water.

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.