Projectile Motion Velocity Components – Rankers Physics
Topic: Kinematics
Subtopic: Ground to Ground Projectile

Projectile Motion Velocity Components


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:

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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