Problem 1 (50 points) Explain your work. A block is moving on a frictionless incline. XB Y The incline has an angle of 0 = 30 with XA tB tA respect to the horizontal. The x-axis of your VB B VA coordinate system points downhill, with the XC origin at the top, as shown. to a=? A X Initially, the block is located in position A, VC 3.00 m away from the top (see picture) and is C moving uphill with a speed of 2.00 m/s. The block turns around at point B and moves downhill. When it reaches the bottom of the incline (location C), it has a speed of 5.00 m/s. Use g = 10 m/$2. [12 pts] In the figure above, all variables are defined (at point A we have position XA, time tA, and velocity VA, etc.). In the table below: for all variables that are known: fill in their values, including sign and unit, and . for all variables that are unknown: put a question mark. Sign, #, unit Sign, #, unit Sign, #, unit XA XB XC LA to VA VB VC a b. [20 pts] When (i.e. find the time) does the block reach the bottom (location C) and how long is the incline? As in class, state the equation you use and then plug in numbers to find a numerical solution