A projectile can have the same range R for two angles of projection. If t1 and t2 are the times of nights in the two cases, then product of the time of flights is proportional to:
Correct answer: D. R
- A. R2
- B. 1/R2
- C. 1/R
- D. R
Explanation
For a projectile launched with identical speeds, the range R is the same for two complementary angles θ and (90° - θ). The time of flight for each angle, t1 and t2, results in a product that is proportional to the range R. This is because the time of flight is determined by the vertical component of the initial velocity, and their product yields a direct relationship with the horizontal range. Therefore, option D is correct: R. The other options incorrectly assume different forms of dependency that do not apply to the physics of projectile motion.
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