Question

The vertex of a parabola is the point (a,b) and latus rectum is of length l. If the axis of the parabola is along the positive direction of y-axis, then its equation is

Answer 1

The equation for the trajectory of a projectile is y = ax + bx², which represents a parabola.

Step-by-step explanation:

The equation for the trajectory of a projectile is given by y = ax + bx², which represents a parabola. To derive this equation, we start with the equations for the x and y positions of a projectile, which are x = Voxt and y = Voyt - (1/2)gt². Solving for t in the x equation and substituting it into the y equation, we obtain the equation of the form y = ax + bx², where a and b are constants.