When the lunar module returns to orbit around the moon, it will dock with the main command module. At this point, your lunar
module will only have about 60% of the mass it originally had.
While docking, the lunar module and command module push on
each other for 0.50 seconds. The docking equipment will break if it
experiences a force larger than 4000 N. What is the maximum
speed your lunar module can be moving at relative to the
command module when they dock?
Maximum docking speed: Click to add text
Consider what happens to the

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.