A mechanical system has two inputs: force () is applied to mass m and displacement x() is applied to one end of damper c. Output y() is the displacement of mass m. a) Derive a differential equation of motion (EOM) for the system. Start with complete and accurate free body diagrams. b) Using the Laplace transform, express a transfer function for each input [both () and x()].

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min

the answer is false. this is because for ice to melt, it requires latent heat of melting. latent heat means heat energy required to change phase without any increase in temperatures. therefore, the ice will take energy from the environment to melt hence atmospheric temperatures will reduce.