Statement I: The maximum possible height attained by the projected body is (u2/2 g), where u is the velocity of projection. Statement II: To attain the maximum height, body is thrown vertically upwards.

Question

Statement I: The maximum possible height attained by the projected body is (u2/2 g), where u is the velocity of projection. Statement II: To attain the maximum height, body is thrown vertically upwards. (A) Both statement I and II are correct. (B) Both statement I and II are incorrect. (C) Statement I is correct but statement II is incorrect. (D) Statement II is correct but statement I is incorrect.

Tardigrade Admin · Accepted Answer

For maximum height θ=90°, or body must be projected straight upwards. Then 0=u2-2 g h, ∴ h=(u2/2 g).

Q. Statement I: The maximum possible height attained by the projected body is $\frac{u ^{2}}{2 g}$ , where $u$ is the velocity of projection.
Statement II: To attain the maximum height, body is thrown vertically upwards.

Both statement I and II are correct.

Both statement I and II are incorrect.

Statement I is correct but statement II is incorrect.

Statement II is correct but statement I is incorrect.

For maximum height $θ = 9 0^{\circ}$ , or body must be projected straight upwards. Then
$0 = u^{2} - 2 g h$ ,
$∴ h = \frac{u ^{2}}{2 g}$ .

Q. Statement I: The maximum possible height attained by the projected body is 2gu2​, where u is the velocity of projection. Statement II: To attain the maximum height, body is thrown vertically upwards.