The velocity of a particle is defined as v(t)={0.8t2i+12t1/2j+5k}m/sv(t)={0. 8t2i+12t1/2j+5k}m/s. Part A Determine the magnitude of the particle's acceleration when t = 2.2 ss .
Express your answer to three significant figures and include the appropriate units.
Part B Determine the coordinate direction angle αα of the particle's acceleration when t = 2.2 ss .
Express your answer using three significant figures.
Part C Determine the coordinate direction angle β of the particle's acceleration when t = 2.2 ss .
Express your answer using three significant figures.
Part D Determine the coordinate direction angle γ of the particle's acceleration when t = 2.2 ss .
Express your answer using three significant figures.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?