Question

After t seconds the position of a particle
moving along the x-axis is given (in feet) by
x(t) = 5 sin(3t) + 3 cos(2t), t ≥ 0 .
Find the acceleration of the particle when t = π.

Answer 1

Location: \(x(t)\) -- This is given

Velocity: \(\dfrac{d}{dx}x(t) = v(t)\)

Acceleration: \(\dfrac{d^{2}}{dx^{2}}x(t) = \dfrac{d}{dx}v(t) = a(t)\)

Looks like a couple of derivatives are all that stand in your way!