# Dynamics. Acceleration of an resultant force

This online calculator illustrates the solution of the example problem on dynamics.

Problem:

When a rocket of mass *m* is launched, the thrust force of its engine, equal to *F*, is directed at an angle α to the horizon. Taking free fall acceleration *g* equal to 10 m/s², find the acceleration of the rocket *a*, i.e. the modulus of the acceleration and the angle between the acceleration and the horizon β.

Solution:

After inspecting the figure, it is clear that the resultant force *R* can be found through the cosine theorem, the modulus of acceleration is equal to*R/m*, and the angle can be found through the tangent, i.e., the ratio of the projection of the resultant force on the y-axis

to the projection of the resultant force on the x-axis

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