A particle moves along the x -axis so that its velocity at any time t gt; 0 is given by v ( t ) = (2 5) t sin( t ). Find the acceleration at any...

2. A particle moves along the x-axis so that its velocity at any time t > 0 is given by

v(t) = (2π − 5)t −sin(π t).

A. Find the acceleration at any time t.

B. Find the minimum acceleration of the particle over the interval [0, 3].

C. Find the maximum velocity of the particle over the interval [0, 2].