Question

Please explain how so that I can get it

Both problems please and problem 1 only for part (e). Problem2 only part(c).

P1)The expression x = 7.70 cos(2.50πt + π/2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the following?

(a) frequency
1.25Hz
(b) period
0.8 s
(c) amplitude
7.70 cm
(d) initial phase of the object's motion
1.57 rad
(e) position of the particle at t = 1.50 s.

......... cm

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P2) A jack-in-the-box undergoes simple harmonic motion after it pops out of its box with a frequency of 4.1 Hz and an amplitude of 16 cm.

(a) What is the maximum acceleration experienced by the jack-in-the-box?
106 m/s²

(b) If the mass of the jack-in-the-box is 0.220 kg, what is the maximum net force it experiences during the motion?
23.358 N

(c) If the initial phase angle is π/3 rad, write an equation that describes the net force as a function of time. (Assume SI base units and that the angles are in radians. Do not include units in your answer. Use the following as necessary: t.)

F(t) =  

Answer 1