Question

A particle moves in the xy-plane so that at any time t its coordinates are x = α cos βt and
y = α sin β t , where α and β are constants. The y-component of the acceleration of the particle
at any time t is

Answer 1

well the second derivative of the position function is the acceleration function

Answer 2

so you need to find y ''

Answer 3

So find the second derivative of the y equation?

Answer 4

exactly