A body of mass 1 kg begins to move under the action of a time dependent forceF=2ti^+3t2j^N, wherei⏜  and  j⏜  are unit vectors along X and Y-axis. What power will be developed by the force at the time (t)?

According to question, a body of mass 1 kg begins to move under the action of time dependent force, F=2ti^+3t2j^Nmdvdt=2ti^+3t2j^∫dv=∫2ti^+3t2j^dt  (∵m=1 kg)v=t2i^+t3j^∴  Power developed by the force at the time t will be given byP=F·v=2ti^+3t2j·t2i^+t3j^=2t·t2+3t2·t3P=2t3+3t5W