Consider the following pendulum that consists of a massless straight rigid rod aob with a point mass m attached at the bottom point a. the pendulum rotates without friction about the point o and it is initially at vertical equilibrium. a spring k is attached at the top point b and sets the pendulum to motion with the application of a vertical displacement input z(t). the spring k is unstretched at t = 0 and the pendulum is vertical. determine the linearized equation of motion of the pendulum about the vertical position

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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

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