1. The problem statement, all variables and given/known data A rocket is red vertically with an acceleration of 250 m/s2. After 30 seconds, the rocket's motor shuts o. Find the maximum altitude achieved by the rocket and the total time from take-o to return to the surface of the earth, assuming that the rocket's design makes air resistance negligible. 2. Relevant equations 3. The attempt at a solution d^2x/dt=a=acceleration. dx/dt=at+c = velocity=v(t) v(0)=0 implies c=0 so v(t)=at x(t)=1/2*a*t*t +d. x(0)=0 implies d=0 so x(t)=x(t)=1/2*a*t*t x(t)=(1/2)*a*t*t=1/2 * (250)*30*30=112500 meters 112500=1/2 * 9.8 * t$ *t$. where t$ is the time it takes to return to earth. t$= 151.52 secs total time is t +t$=181.52 secs. Is this right? My classmates did it differently but I do not understand how I am wrong. please help!!!!!