Statement I: The height attained by a projectile is twenty five percent of range, when projected for maximum range. Statement II:The maximum height is independent of initial velocity of projectile.

Question

Statement I: The height attained by a projectile is twenty five percent of range, when projected for maximum range. Statement II:The maximum height is independent of initial velocity of projectile. (A) If both statement I and statement II are true and statement II is the correct explanation of statement I. (B) If both statement I and statement II are true but statement II is not the correct explanation of statement I. (C) If statement I is true but statement II is false. (D) If both statement I and statement II are false.

Tardigrade Admin · Accepted Answer

Range will be maximum when θ= 45° and in this condition R = AH ⇒ = R/4 (always) because R = 4H cot θ and θ = 45° So maximum height is 25 % of maximum range. It does not depend upon the velocity of projection.

Q. Statement I: The height attained by a projectile is twenty five percent of range, when projected for maximum range.
Statement II:The maximum height is independent of initial velocity of projectile.

If both statement I and statement II are true and statement II is the correct explanation of statement I.

If both statement I and statement II are true but statement II is not the correct explanation of statement I.

If statement I is true but statement II is false.

If both statement I and statement II are false.

Range will be maximum when $θ = 4 5^{\circ}$ and in this condition $R = A H \Rightarrow= R /4$ (always) because $R = 4 H cot θ$ and $θ = 4 5^{\circ}$
So maximum height is $25%$ of maximum range.
It does not depend upon the velocity of projection.

Q. Statement I: The height attained by a projectile is twenty five percent of range, when projected for maximum range. Statement II:The maximum height is independent of initial velocity of projectile.