Projectile Motion Velocity Components – Rankers Physics

Ground to Ground Projectile: Practice Problem & Solution

Assertion (A): Horizontal component of velocity is constant in projectile motion under gravity. Reason (R): Two projectiles having same horizontal range must have the same time of flight.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Ground to Ground Projectile. Understanding the underlying formula is key to arriving at the correct answer below:

In projectile motion (neglecting air resistance), gravity acts only vertically. Thus, there is no horizontal acceleration, and the horizontal component of velocity remains constant. So (A) is true. Horizontal range is \(R = u_x T\). Projectiles launched at complementary angles have the same range but different times of flight (\(T = \frac{2u \sin\theta}{g}\)). So (R) is false.

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