Question

40 points.

An object is moving along the x-axis. It's position at any time is given by $x(t)=3cos(\pi t)+2.$ Find it's acceleration.

Answer 1

Answer:

  B. a(t) = -3π²cos(πt)

Step-by-step explanation:

Acceleration is the second derivative of the position. Here, the second derivative of the cosine function is ...

  d²(cos(πt))/dt²= -π²cos(πt)

Of course, the second derivative of the constant is zero. When we consider the multiplier of 3, we have ...

  a(t) = x''(t) = -3π²cos(πt) . . . . . . . matches choice B