We would like to use the relation v(t)=i(t)r to find the voltage and current in the circuit as functions of time. to do so, we use the fact that current can be expressed in terms of the voltage. this will produce a differential equation relating the voltage v(t) to its derivative. rewrite the right-hand side of this relation, replacing i(t) with an expression involving the time derivative of the voltage. express your answer in terms of dv(t)/dt and quantities given in the problem introduction.

i think it's 35 meters

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

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

conservation of mass

mass before something happens = mass afterwards