In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, (4t +) x = 8.00 cos where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 7.39 cm (b) At t = 0, find velocity of the piston. -6.12 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. -29.6 How do you find the acceleration a(t) of an object if you know the velocity as a function of time, v(t)? cm/s² (d) Find the period and amplitude of the motion. 3.14 period Remember that 4 = w has units of radians per second. How do you determine the period from the angular frequency? s amplitude 8.00 cm

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.