What is the mathematical formula for velocity? A particle is moving in xy-plane such that v_x = 4 + 4t and v_y = 4t. If the position of the particle is (1,2), the equation of trajectory will be An object is projected horizontally with velocity 10 m/s. Find the radius of curvat...
A parabola is a U-shaped graph of a quadratic function. It is composed of points that are equidistant from the focus and the directrix. Examples of parabolas are the trajectory of a cannonball and the cross-section of a satellite dish. ...
An explicit Formula for the suboptimal control of linear plants has been derived by Teodorescu (1985). Based on this result, the present paper proves that the suboptimal control and trajectory can be obtained by solving a matrix equation of the form XLX + XH + E = 0, where L, H, E ...
A few common examples of hyperbola include the path followed by the tip of the shadow of a sundial, the scattering trajectory of sub-atomic particles, etc. Here we shall aim at understanding the definition, formula of a hyperbola, derivation of the formula, and standard forms of hyperbola ...
T=2usin(θ)θEquation of path of the projectile is given by,y=xtan(θ)–gx22v2cos(θ)From the above equation, we have the path of the projectile follows a parabolic trajectory.Projectile on an InclineCircular MotionFor circular motion, we have a different set of angular ...
What is centripetal acceleration write its formula? Centripetal acceleration measures the change of velocity direction in circular motions. It is calculated by the division between the square of the speed of the moving object and the radius of the circular trajectory. What is centripetal force and ...
2.The motion of charged particle acted upon by Lorentz force and other external force are analyzed,calculating formulae of orbit equation and curvature radius are derived.分析了带电粒子受到洛伦兹力和其他恒定外力作用下的运动情况,导出了轨道方程和曲率半径的计算公式。 3)well trajectory equation井眼轨道...
When the equation 4.98x2 + 2.03x - 1.03 = 0 is solved, what are the two values of the unknown x? Explain how to use the Born-Mayer equation. What is the purpose of making derivatives of unknowns? What is a trajectory? What kind of information do you need to predict the ...
Finally, the third quantity looks at the how much the values of an L-periodized solution can deviate from the initial value, when we follow the trajectory up to time t \ge 0.Lemma 6.3For any initial data \psi _0 and target time T>0, we have that for each k\in {\mathbb Z}, ...
Speed is the magnitude of velocity, but velocity also has direction. What is instantaneous velocity and average velocity? Average velocity measures the rate of change in position in some period of time for an entire trajectory. The instantaneous velocity is the infinitesimal limit of the average ...