The answer depends on what information you start with. For example, if you are given acceleration then you might integrate whereas if you are given displacement, you might differentiate.
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A vector is used to represent direction and magnitude of speed. Velocity is the speed of an object and a specification of its direction of motion. Speed describes only how fast an object is moving, whereas velocity gives both how fast and in what direction the object is moving. Therefore a vector can be used to represent a velocity. The term "resultant velocity" implies a change in velocity which can be determined using vector analysis.
Trigonometric functions are calculated using a polynomial approximation. The exact polynomial used may be different on different calculators.
Work out the resultant force by either using trigonomatry or drawing a scale diagram and resolving the vectors. Once you have worked out the resultant force, use newtons 2nd law equation F=MA. F is the resultant force, M is the mass, and A is the acceleration
To solve for the equilibrant force in a system of forces, you must first determine the resultant force by adding all the individual forces acting on an object using vector addition. The equilibrant force is equal in magnitude but opposite in direction to the resultant force. Mathematically, you can find the equilibrant force by multiplying the magnitude of the resultant force by -1 and finding the vector in the opposite direction.
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