In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,(at +)x = 7.00 coswhere x is in centimeters and t is in seconds.(a) At t = 0, find the position of the piston.5.663We are given x as a function of time. For any x(t) you can determine the position at a particular time by putting that valueinto the function. cm(b) At t = 0, find velocity of the piston.16.458How do you find the velocity v(t) of an object if you know the position as a function of time, x(t)? cm/s(c) At t = 0, find acceleration of the piston.-90.6099 XHow do you find the acceleration a(t) of an object if you know the velocity as a function of time, v(t)? cm/s?(d) Find the period and amplitude of the motion.period1.5708amplitudecm

Given the position of the piston in simple harmonic oscillation is xt=7 cos4t+π6 (a). At t=0, the…

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