In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x- 7.00 cos (4t +) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 5.663 We are given x as a function of time. For any x(t) you can determine the position at a particular time by putting that value into the function. cm (b) At t = 0, find velocity of the piston. 16.458 How 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 X How 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. 1.5708 period amplitude cm

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x- 7.00 cos (4t +) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 5.663 We are given x as a function of time. For any x(t) you can determine the position at a particular time by putting that value into the function. cm (b) At t = 0, find velocity of the piston. 16.458 How 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 X How 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. 1.5708 period amplitude cm