The rectangular coordinates of a particle which moves with a curvilinear motion are given by x = (10.24)t + (1.74)t2 - (0.44)t3 and y = (6.32+0.02) + (14.65+0.02)t - (2.48+0.02)t2, where x and y are in millimeters and the time 't' is in seconds, beginning from t = 0s. Determine the velocity 'v and acceleration 'a' of the particle when t = 5 s. Also, determine the times when the velocity of the particle makes an angle of 45° with the x-axis.

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Electric Circuit and Components

An electrical circuit or electrical network is a pre-determined pathway to make the electrons flow in the desired direction. The flow of electrons will set up a current flow in the circuit. Normally, the flow of electrical current is opposite to the flow of electrons. An electron is a fundamental sub-atomic particle of an atom possessing a negative charge. To initiate the flow of current and achieve the desired output, the electrical circuit should necessarily be composed of closed pathways. The pathways are made-up of good conductors of electricity such as aluminium and copper.