Question

( begin{aligned} v &=int a cdot d t Rightarrow v=int cos (pi t) &=sin frac{(pi t)}{pi}+c v(0) &=frac{1}{2 pi} quad rightarrow frac{1}{2 pi}=0+c & quad vleft(frac{3}{2}right)=frac{-1}{pi}+frac{1}{2 pi} therefore v=frac{sin (pi t)}{pi}+frac{1}{2 pi}, &=frac{1 / 2 pi}{2 pi} end{aligned} )

# The acceleration of an object is given by a(t) = cost ms-2 and its velocity at time t = 0 is -ms-'at origin. Its velocity at t s is 27 ms-1

Solution