The diagram above shows two cars that are about to crash. The car on the left (car #1) starts from rest at position x=0 at time t=0, then rolls to the right with constant acceleration a1. The car on the right (car #2) starts from rest at position x=L at t=0 and rolls with constant acceleration -a2 to the left. Note that -a2 is negative, so the variable a2 is positive. The two cars crash at position x=xC at time t=tc. 1. Outline the information given in the diagram and the paragraph above to complete the table below by writing an expression for each quantity. Do not attempt to solve for any of these expressions. The purpose of this table is simply to summarize the given information. All expressions should be written in terms of L, xc, a1, a2 and tc. Car 2 Expression in terms of L, xc, a1, a2 and tc Sign 7 Expression in terms of L, xc, a1. a2 and tC 5'9" Positive Negative \\/ Zero 2. Usethe information you outlined for car 1 in the the previous question and a kinematics equation to denve an expresswn for xc in terms of L, a1, a2 and/or tc. 3. Use the_information you outlined for car 2 in question 1 and a kinematics equation to derive another expressmn for xc in terms of L, a1, a2 and/or ta. 4. Combine the expressions from questions 2 and 3 to derive an expression for xc in terms of L, a1 and a; but not tc_ 5. Combine the expressions from questions 2 and 3 to derive an expression for tc in terms of L a and a1 but not xc. ' 1