In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 3.00 cos *(x+²) where x is in centimeters and t is in seconds. (a) At t= 0, find the position of the piston. 299 X 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, com (b) At t=0, find velocity of the piston. -12 X How do you find the velocity v(t) of an object if you know the position as a function of time, x(t)7 cm/s (c) At t= 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude cm

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 3.00 cos *(x+²) where x is in centimeters and t is in seconds. (a) At t= 0, find the position of the piston. 299 X 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, com (b) At t=0, find velocity of the piston. -12 X How do you find the velocity v(t) of an object if you know the position as a function of time, x(t)7 cm/s (c) At t= 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude cm