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Hw a Secure https://session.masterin Secure https//session.masteringphysics.com/myctuitemview7assignmentProblemID-78596426 Ch.03 Hw Pa Problem 3.83 Resources previous 10 of 10 I return to a Problem 3.83 Part A A video recording of a moving object shows the object moving up and down with a velocity given by vz(t)Umax Cos(ut), where x -1.20 m/s and -0.15s-1 and where the positive z direction is upward Derive an expression for a(t), the objocts acceleration as a function of time, where t is in seconds Express your answer in terms of t. a(t). 10.18 sin (a))t m/ Submit My Answers Givn Up Incorrect:; Try Again; 3 attempts remaining Part B if the object's position at t_0is z(0)=0,derive an expression for z(t), its postion as a function of time, where t isin seconds Express your answer in terms of t. Submit My Answers Give Up Contin

Explanation / Answer

given

vx(t) = v max cos ( wt)

= 1.2 cos (0.15 t)

a(t) = dv/dt

= d/dt ( 1.2 sin (0.15 t)

=-0.18 sin (0.15t)

(B)

x(t) = integral v(x) dt

= inegral ( 1.2 sin ( 0.15 t)

= 1.2 (- (1/w)cos(wt))

=-1.2/0.15 cos ( 0.15 t)+ c

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