A man runs at a speed of 4 m/s to overtake a standing bus. When he is 6m behind the door (t=0), the bus moves forward and continues with a constant acceleration of 1.2 m/s^2. How long does it take for the man to gain the door?

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