Projectile Motion Formula class 11

Last updated on August 25th, 2023 at 09:43 am

This post on Projectile Motion Formula for class 11 presents a set of formulas that describe a projectile motion that is parabolic in nature and helps to find out important motion parameters as well. Let’s find out those formulas one by one, along with a brief idea for each formula.

Projectile Motion Formula for Class 11

The formula that describes the motion path or trajectory is as follows:
y = (tanθ) x – (1/2) g . x²/(V₀ cosθ)²

Regarding Time we have 2 formulas listed below.

Time to reach max height: t_max= (V₀sinθ )/g

Total time of flight for a projectile: T_tot = 2(V₀sinθ )/g

Here is the formula to find out the maximum height reached by the projectile.

Maximum height reached: H_max = ( V₀sinθ )²/(2 g)

As a projectile traverses horizontal distance as well, here are the formulas for range (horizontal range).

Horizontal range of a projectile: R = (V₀²sin2θ )/g

Maximum possible horizontal range: R_max = V₀²/ g

If we want to find out horizontal displacement at any interval of time, here is the formula to be used:

At time T=t,
Displacement along X-axis: x= V_0x.t = (V₀ cosθ). t

If we want to find out vertical displacement at any interval of time, here is the formula to be used:

At time T=t,
Displacement along Y-axis: y = (V₀sinθ ).t – (1/2) g t²