Question

An object oscillates as it moves along the

Answer 1

Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

$x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}$

The displacement between t= 0  and t = 1 second is given by:

$d = x(1) - x(0)$

Hence:

$x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2$

$x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2$

Then:

$d = x(1) - x(0) = -2 + 2 = 0$

The displacement is of 0 m.

You can learn more about displacement at brainly.com/question/248054