Which of the following equations used to assess the projectile motion?
A. V = u + at
B.
C. ½ at
D.
E.
Choose the correct answer from the options given below:

Correct option is B

A. V=u+atV = u + atV=u+at: This equation is used for calculating the final velocity in linear motion under constant acceleration. It can be applied in the vertical or horizontal direction in projectile motion.
· B. V2=u2+2asV^2 = u^2 + 2asV2=u2+2as: This equation, derived from the equations of motion, is valid for projectile motion when there is uniform acceleration. It is applicable in both the horizontal and vertical components.
· C. S=ut+12at2S = ut + \frac{1}{2} at^2S=ut+21​at2: This equation describes displacement in uniformly accelerated motion and can be used to find the position of the projectile at any given time in the vertical direction.
· D. V=Δs+ΔtV = \Delta s + \Delta tV=Δs+Δt: This equation is not typically used in projectile motion analysis. It does not represent any standard kinematic equation and is not valid in the context of projectile motion.
· E. m1v1=m2v2m_1 v_1 = m_2 v_2m1​v1​=m2​v2​: This equation represents the principle of conservation of momentum, which applies to collisions, not directly to projectile motion. It does not apply here.
Information Booster:
1. Projectile motion consists of two components: horizontal motion with constant velocity and vertical motion under constant acceleration (gravity).
2. A ( V=u+atV = u + atV=u+at ): This equation can be used for both vertical and horizontal components of projectile motion.
3. B ( V2=u2+2asV^2 = u^2 + 2asV2=u2+2as ): In projectile motion, this is useful for calculating the final velocity or displacement, especially when the time is unknown.
4. C ( S=ut+12at2S = ut + \frac{1}{2} at^2S=ut+21​at2 ): It is fundamental for analyzing the vertical motion of projectiles, where gravity acts as the acceleration.
5. D and E: These do not apply to projectile motion. D is a misrepresentation of the basic kinematic equations, and E applies to momentum conservation, not projectile motion.
Additional Information:
· A, B, C (Projectile Motion): The equations A, B, and C are the core kinematic equations used for both horizontal and vertical components of projectile motion. The projectile motion analysis typically involves breaking the motion into two parts: horizontal motion (uniform velocity) and vertical motion (uniform acceleration due to gravity).
· D (Incorrect Equation): The equation V=Δs+ΔtV = \Delta s + \Delta tV=Δs+Δt is not applicable in the standard equations of motion used for projectiles.
· E (Conservation of Momentum): The principle of conservation of momentum (E) applies to systems before and after collisions or interactions, which is not a feature of projectile motion itself.