![]() ![]() In each of the above equations, the vertical acceleration of a projectile is known to be -9.8 m/s/s (the acceleration of gravity). Once this cancellation of ax terms is performed, the only equation of usefulness is:Įquations for the Vertical Motion of a Projectileįor the vertical components of motion, the three equations are An application of projectile concepts to each of these equations would also lead one to conclude that any term with a x in it would cancel out of the equation since a x = 0 m/s/s. Of these three equations, the top equation is the most commonly used. ![]() For the horizontal components of motion, the equations are Thus, the three equations above are transformed into two sets of three equations. Since these two components of motion are independent of each other, two distinctly separate sets of equations are needed - one for the projectile's horizontal motion and one for its vertical motion. The above equations work well for motion in one-dimension, but a projectile is usually moving in two dimensions - both horizontally and vertically. Three common kinematic equations that will be used for both type of problems include the following:Įquations for the Horizontal Motion of a Projectile In this part of Lesson 2, we will focus on the first type of problem - sometimes referred to as horizontally launched projectile problems. The second problem type will be the subject of the next part of Lesson 2. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.
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