Two lovers are parked 10.0m from the edge of a cliff in a car whose mass, including that of the occupants is 100kg. a jealous suitor ties a rope to the car's bumper and a 50. kg rock to the other end of the rope. he then lower the rock over the edge of the cliff, and the car, which is in neutral, accelerates toward the edge.

b) what is the acceleration of the car towards the edge?
c) how long do the lovers have to apply the brakes before they go over the edge?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect