So after multiplying both sides by -4/π, you get sin(πt/4) < 0.Painguy said:Homework Statement
d) When is the particle moving in the positive direction?
[itex]f(t) = cos(πt/4), t ≤ 10[/itex]
Homework Equations
[itex]f '(t) = -(π/4)sin(π(t)/4)[/itex]
The Attempt at a Solution
[itex]0 < -(π/4)sin(π(t)/4)[/itex]
Painguy said:[itex](π(t)/4)>πn[/itex]
[itex]t>4n 0<=n<=2[/itex]
[itex]t>4 t>8[/itex]
The answer says 8>t>4
im probably skipping a simple step. wut do?
A particle in positive direction refers to a small unit of matter that is moving in a forward or upward direction. It can be a subatomic particle, such as an electron or proton, or a larger particle like a dust particle.
A particle can move in a positive direction through various forces such as gravity, electrical fields, or chemical reactions. It can also be propelled by external factors like wind or an object pushing it.
Some examples of particles moving in a positive direction are a ball rolling up a hill, a rocket launching into space, or an electron moving towards a positively charged atom.
Studying particles in positive direction allows scientists to better understand the movement and behavior of matter. It also contributes to advancements in technology and helps us understand the fundamental principles of the universe.
A particle's direction of motion is determined by its initial velocity and the forces acting upon it. It will move in the direction of the net force acting upon it, whether it is positive, negative, or zero.