Physics Course/Projectile Motion

Projectile Motion Projectile Motion refers to any motion moving under the effect of gravity. This kind of motion is famous for its trajectory being in the shape of a parabola. all are due to gravity Analysis (two dimensional space) Suppose the object is projected at an angle at a height h with an initial velocity of v with a gravity of g. When on Earth g will equal 9.8 m/s2. The components of velocity in horizontal (x-) and vertical (y-) directions are: By using , The x- and y- coordinates of the object are which are functions in time. By eliminating t, which shows that the trajectory is a parabola Velocity at any time t The magnitude of the velocity at any time t is given by and the direction is given by Time of flight To solve for the time of flight, we set y(t)=0 or Horizontal range After , the x-coordinate of the object is given by Maximum height The maximum height is given by where h is the initial height method 1 - completing the square method 2 - by symmetry method 3 - by calculus