Energy in motion?
The position of a particle is given by x = (6 cm) cos 7piT, where T is in seconds.
(a) Find the maximum speed.
(b) Find the maximum acceleration of the particle.
(c) What is the first time that the particle is at x = 0 and moving to the right?
- 1 decade agoFavorite Answer
a) velocity is the first time derivative of position: dx/dt, so d/dt(6cos[7pi t]) = -42pi sin(7pi t)
b) acceleration is the second time derivative of position: d^2x/dt^2, so do the derivative of part a) = -294 pi^2 cos (7 pi t)