Profcocoon, welcome to PF!profcocoon said:Homework Statement
A particle moves from a rest position and accelerates as shown in the graph, which is the distance that the particle has advanced during the first 20 seconds?
Homework Equations
The Attempt at a Solution
The answer in the book is 262m but I have no idea of how that solution was obtained, could you guys help me??
Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction.
Acceleration can be calculated by dividing the change in velocity by the change in time. This can also be represented as the derivative of velocity with respect to time.
Velocity is the rate of change of an object's position over time, while acceleration is the rate of change of an object's velocity over time. In simpler terms, velocity tells us how fast an object is moving and in what direction, while acceleration tells us how much an object's velocity is changing over time.
The units of acceleration are typically meters per second squared (m/s^2) in the SI system. Other units include feet per second squared (ft/s^2) and gravity units (g), with 1 g being equal to 9.8 m/s^2.
Acceleration can affect an object's motion in several ways. If an object is accelerating in the same direction as its velocity, it will speed up. If it is accelerating in the opposite direction, it will slow down. If the acceleration is perpendicular to the velocity, it will cause the object to change direction. If there is no acceleration, the object will continue to move at a constant velocity.