Here, in this post, you will get a list of projectile motion equations. This list includes the equation of projectile motion path, and other important equations like time to reach maximum height, maximum height, horizontal range, max horizontal range, displacement, etc. [ good for class 11 physics]
Projectile Motion Equations

when time t =0)
Referring to diagram 1, here are the equations for the projectile motion.
Motion Path equation: | y = (tanθ) x – (1/2) g . x2/(V0 cosθ)2 |
Time to reach max height: | tmax= (V0sinθ )/g |
Total time of flight for a projectile | Ttot = 2(V0sinθ )/g |
Maximum height reached: | Hmax = ( V0sinθ )2/(2 g) |
Horizontal range of a projectile: | R = (V02 sin2θ )/ g |
Maximum possible horizontal range: | Rmax = V02 / g |
At time T=t, Displacement along X-axis: | x= V0x.t = (V0 cosθ). t |
At time T=t, Displacement along Y-axis: | y = (V0sinθ ).t – (1/2) g t2 |