The motion of a particle is given by the equation v = 8t3 – ½ t2 + 4t, where v is in meters and t is in seconds. compute the value of a at t=0. i got 98 m/s^2 but the answer key says 50m/s^2 so i think it must have been a typo. can someone check?

If the heat engine is a perfect carnot cycle engine, thenefficiency = (t2-t1)/t2   where t1=temperature of cold reservoir ( ° k) = 135            t2=temperature of hot reservoir ( ° k)   = 325thereforeefficiency = (t2-t1)/t2 = (325-135)/325 = 0.5846 = 58%  note: this is the theoretical maximum efficiency of a perfect heat engine.   real-life engines do not achieve this value.