Two bodies are projected from ground with same speeds 40 m s⁻¹ at two… | JEE Main 2023 (31 Jan, Shift 2)

Q11JEE Main 2023 · 31 JAN · SHIFT 2Easy

Comparing Two Projectiles

Two bodies are projected from ground with same speeds $40\text{ m s}^{-1}$ at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of $60^\circ$ , with horizontal then sum of the maximum heights, attained by the two projectiles, is ________ $\text{m}$ . (Given $g = 10\text{ m s}^{-2}$ )

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 80

Same range at the same speed means complementary angles: $60^\circ$ and $30^\circ$ .
$H_1 + H_2 = \frac{u^2(\sin^2 60^\circ + \sin^2 30^\circ)}{2g} = \frac{u^2}{2g}$
$= \frac{40^2}{2\times 10} = 80\text{ m}$

Report a mistake

More questions on Comparing Two Projectiles

Two projectiles are projected at 30° and 60° with the horizontal with the same speed. The…JEE Main 2023 (10 Apr, Shift 2)
The range of the projectile projected at an angle of 15 ° with horizontal is 50 m. If the…JEE Main 2023 (10 Apr, Shift 1)
Two objects are projected with same velocity 'u' however at different angles α and β with…JEE Main 2023 (25 Jan, Shift 2)
Two projectiles A and B are thrown with initial velocities of 40 m/s and 60 m/s at angles…JEE Main 2023 (8 Apr, Shift 1)
Two projectiles are thrown with same initial velocity making an angle of 45° and 30° with…JEE Main 2022 (26 Jul, Shift 2)
Given below are two statements. One is labelled as Assertion A and the other is labelled…JEE Main 2022 (25 Jun, Shift 2)
Two projectiles thrown at 30° and 45° with the horizontal respectively, reach the maximum…JEE Main 2022 (26 Jul, Shift 1)
Two projectiles P1 and P2 thrown with speed in the ratio √(3): √(2), attain the same…JEE Main 2022 (30 Jun, Shift 1)

Comparing Two Projectiles question from JEE Main 2023 (31 Jan, Shift 2)

More questions on Comparing Two Projectiles