Derive the equations of motion of an object moving with uniform acceleration a and initial velocity u by calculus method.

Consider a resistor with color code “orange blue brown gold” and a measured value of 370 ω. determine the following: nominal value, tolerance, % error, and the probability of another resistor from the same manufacturing batch having a value closer to nominal than this one. use matlab or excel to evaluate the erf function.

Write maxwell's equations and discuss the terms involved and the results of each equation in classical electrodynamics. if it is possible to write these equations in integral form, give the integral forms. find the wave equation for electromagnetic waves from the maxwell equations. what is the propagation velocity of electromagnetic waves in space according to the wave equation you find?

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)