Projectile Motion – Maximum Range and Time of Flight – Rankers Physics
Topic: Kinematics
Subtopic: Ground to Ground Projectile

Projectile Motion – Maximum Range and Time of Flight

Assertion (A): When the range of a projectile is maximum, the time of flight is the largest.
Reason (R): Horizontal range is maximum when angle of projection is (90^circ).
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Assertion (A): Maximum range occurs at (theta = 45^circ). The largest time of flight occurs at (theta = 90^circ). Since these angles are different, the assertion is false. So (A) is False.
Reason (R): Horizontal range is maximum at (theta = 45^circ) (when (sin(2theta)=1)). At (theta = 90^circ), the range is zero. So (R) is False.
Since both (A) and (R) are false, option (4) is correct.

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