Now that we have understood what a projectile is, it is time to learn about the projectile’s maximum height. Horizontal range ( R) = u 2 2θ / g Projectile’s Maximum Height Hence, the horizontal range given by a projectile motion is given by R: = Horizontal component of velocity × (Total flight time) The common formula for calculating a horizontal range is: Total Time of Flight ( t) = 2u sinθ / g Horizontal Range Thus, the formula for time of flight can be written as follows: Hence, provided below is the time of flight formula with the help of the equation of motion: In the vertical direction, displacement, s=0. ![]() G = acceleration due to gravity Total Time of Flight In order to find varied parameters related to the motion of the projectile, differential equations of motions are used: Time of flight is the total time taken by the particle when it reaches from O to B. OB as the horizontal range (or simply range) Imagine a ball is being projected at a certain angle named with respect to the x-axis (horizontal direction). It indicates that the particle’s velocity remains constant in the horizontal direction. The acceleration’s direction is vertically downward. Acceleration due to gravity is the only force that acts on the object when it is in flight mode. Consider an object projected in space with a certain speed. To sum up, acceleration will act in both horizontal and vertical projectile motion of the object. Motion along the y-axis: Here, the acceleration is uniform, which is responsible for the downward or vertical motion of the object. ![]()
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