Position, Velocity and Acceleration - Concept

Concept Concept (1)

If position is given by a function p(x), then the velocity is the first derivative of that function, and the acceleration is the second derivative. By using differential equations with either velocity or acceleration, it is possible to find position and velocity functions from a known acceleration.

Sample Sample Problems (3)

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Position, Velocity and Acceleration - Problem 1
Problem 1
How to determine the position of an object by solving a differential equation that describes its acceleration.
Position, Velocity and Acceleration - Problem 2
Problem 2
How to determine how far an object travels by solving a differential equation that describes its acceleration.
Position, Velocity and Acceleration - Problem 3
Problem 3
How to determine the motion of a projectile by solving a differential equation that describes its acceleration.