You land your inflatable boat on a sandbar at high tide in Southeast Alaska, which has a large semi-diurnal tide. You intend to be away from the boat for 12 hours, but come back early after only 8 hours. Your boat is, unfortunately, 400m from shore. How long will you have to wait to be able to use your boat (assuming you can't carry it)?

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.

Diverging mirrors and lenses always produce images

Blank is the perceived frequency of a sound wave