Question

Laplace transform for acceleration Consider an object falling under the force of gravity. Ignore drag and model the motion as an undamped rigid body. Use Laplace transforms to express the position q(t) as a function of t,q(0), q˙​(0), and g In other words, solve q¨​=g?

Answer 1

The Laplace transform can be used to express the position of an object falling under the force of gravity as a function of time, initial position, initial velocity, and the acceleration due to gravity.

Step-by-step explanation:

The Laplace transform can be used to express the position of an object falling under the force of gravity as a function of time, initial position, initial velocity, and the acceleration due to gravity, using the equation q(t) = -(gt^2)/2 + q(0) + q'(0)t, where q(t) is the position at time t, q(0) is the initial position, q'(0) is the initial velocity, and g is the acceleration due to gravity.