The equation of motion of a particle is s = t3 − 3t, where s is in meters and t is in seconds. (assume t ≥ 0.) (a) find the velocity and acceleration as functions of t. g

Explanation:

The  equation of motion of a particle is :

Where

s is in meters

t is in seconds

The position of a particle is,

The acceleration of a particle is,

Hence, this is the required solution.

Velocity: m/s

Accelaration: m/s²

Explanation:

The velocity is the derivative of the position.

The accelaration is the derivative of the velocity.

Derivative concepts

The derivative of is

The derivative of a subtraction is the subtraction of the derivatives.

The derivative of a constant is 0.

The equation of the position is

m

The equation of the velocity is

Derivative of the position

m/s

The equation of the acceleration is

m/s²

explanation: magnetic pole, region at each end of a magnet where the external magnetic field is strongest. the south-seeking pole, or any pole similar to it, is called a south magnetic pole. unlike poles of different magnets attract each other; like poles repel each other.