We hope this detailed article on Projectile Motion helps you in your preparation. Will the equation of the projectile motion will change on the moon?Īns: No, the expression of the equation of motion will remain the same only the value of the acceleration due to the gravity will change. The maximum range down the plane will be given by, The maximum range up the plane is given by, It concerns objects accelerating vertically when. At what angle should be the projectile be projected to get maximum range?Īns: If the angle of the inclined plane is \(\beta \) This episode looks at the independence of vertical and horizontal motion. The above equation corresponds to a parabola thus, the path of the projectile will be a parabola. \(\overrightarrow s = \,\overrightarrow u t\, + \frac\) The velocity of the projectile at any time Along the horizontal axis, ax 0 a x 0 so, velocity remains constant and velocity at A A along horizontal will also be u u. \(\overrightarrow a \) is the acceleration \(\overrightarrow u \)the initial velocity \(\overrightarrow v \) is the initial velocity The first equation of motion, \(\overrightarrow v = \,\overrightarrow u \, + \,\overrightarrow a t\) It is valid for a particle with uniform acceleration or zero acceleration. To ease the analysis of the motion of a particle in one dimension, three equations that describe the relationship between the parameters of the motion has been derived. The equations of rectilinear motion that you learnt about in Grade 10 can be used for vertical projectile motion, with acceleration from gravity: ag. Learn Exam Concepts on Embibe Equations of Motion Negative acceleration is also sometimes referred to as retardation. It is denoted by \(\overrightarrow v \) or \(\overrightarrow u \)Īcceleration: The rate of change of velocity with respect to time is known as acceleration. Velocity: The rate of change of displacement with respect to time is known as velocity.
It is denoted by \(\overrightarrow S \).ĭistance: It is the total length of the path taken by the particle. We calculate it by taking the difference between the final and the initial position. It is denoted by \(\overrightarrow r \).ĭisplacement: It is the change in position of the particle with respect to the reference point. Position: It is the location of the particle with respect to the chosen reference point.
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