An object oscillates with simple harmonic motion along with x axis. Its displacement from the origin varies with time according to the equation x = (4.00 m)cos⁡(πt + π/4) Where t is in seconds and the angles in the parentheses are in radians. (a) Determine the amplitude, frequency and period of the motion. (b) Calculate the velocity and acceleration of the object at time t. (c) Using the results in part(b), determine the position, velocity and acceleration of the object at t = 1.0 s (d) Determine the maximum speed and acceleration of the object.

An object oscillates with simple harmonic motion along with x axis. Its displacement from the origin varies with time according to the equation x = (4.00 m)cos⁡(πt + π/4) Where t is in seconds and the angles in the parentheses are in radians. (a) Determine the amplitude, frequency and period of the motion. (b) Calculate the velocity and acceleration of the object at time t. (c) Using the results in part(b), determine the position, velocity and acceleration of the object at t = 1.0 s (d) Determine the maximum speed and acceleration of the object.

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An object oscillates with simple harmonic motion along with x axis. Its displacement from the origin varies with time according to the equation
x = ( 4.00 m ) cos ( π t + π 4 )
Where t is in seconds and the angles in the parentheses are in radians. (a) Determine the amplitude, frequency and period of the motion. (b) Calculate the velocity and acceleration of the object at time t . (c) Using the results in part(b), determine the position, velocity and acceleration of the object at t = 1.0 s (d) Determine the maximum speed and acceleration of the object.

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