When a particle is thrown vertically upwards, its velocity at one third of its maximum height is 10 √2 m / s. The maximum height attained by it is

Question

When a particle is thrown vertically upwards, its velocity at one third of its maximum height is 10 √2 m / s. The maximum height attained by it is (A) 20 √2 m (B) 30 m (C) 15 m (D) 12.8 m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/ca0baf87e97ea540456cf63fc20e5f1e-.png" /> v2-u2=-2 g × (2 H/3) ⇒ -100 × 2=-2 × 10 × (2 H/3) ⇒ H=15 m

Q. When a particle is thrown vertically upwards, its velocity at one third of its maximum height is $102 m / s$ . The maximum height attained by it is

$202 m$

$30 m$

$15 m$

$12.8 m$

$v^{2} - u^{2} = - 2 g \times \frac{2 H}{3}$
$\Rightarrow - 100 \times 2 = - 2 \times 10 \times \frac{2 H}{3}$
$\Rightarrow H = 15 m$

Q. When a particle is thrown vertically upwards, its velocity at one third of its maximum height is 102​m/s. The maximum height attained by it is

202​m

30m

15m

12.8m