Two projectiles are thrown towards each other at 15° and 45° angles… | JEE Main 2022 (30 Jul, Shift 2)

Q21JEE Main 2022 · 30 JUL · SHIFT 2Medium

Comparing Two Projectiles

Two projectiles are thrown towards each other at $15^\circ$ and $45^\circ$ angles respectively with the horizontal at the same speed. The difference between the horizontal distances traveled by the two projectiles is $80\text{ m}$ . The initial speed of the projectiles is ______ $\text{m s}^{-1}$

[Given $g = 10\text{ m s}^{-2}$ ]

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

Show answer and solution

Answer: 40

$R_{45} - R_{15} = \frac{u^2}{g}(\sin 90^\circ - \sin 30^\circ) = \frac{u^2}{2g}$
$\frac{u^2}{2\times 10} = 80 \Rightarrow u^2 = 1600$
$u = 40\text{ m s}^{-1}$

Report a mistake

More questions on Comparing Two Projectiles

An object is projected in the air with initial velocity u at an angle θ. The projectile…JEE Main 2022 (29 Jul, Shift 1)
The ranges and heights for two projectiles projected with the same initial velocity at…JEE Main 2021 (1 Sep, Shift 2)
Two particles are projected from the same point with the same speed u such that they have…JEE Main 2019 (12 Apr, Shift 2)
A shell is fired from a fixed artillery gun with an initial speed u such that it hits the…JEE Main 2019 (12 Apr, Shift 1)
For angles of projection of a projectile at angle (45o -θ) and (45o + θ), the horizontal…NEET 2006 (AIPMT)
A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the…JEE Main 2005 (AIEEE)
A projectile can have the same range 'R' for two angles of projection. If T1 and T2 be…JEE Main 2004 (AIEEE)
Two projectiles of same mass and with same velocity are thrown at an angle 60o and 30o…NEET 2000 (AIPMT)

Comparing Two Projectiles question from JEE Main 2022 (30 Jul, Shift 2)

More questions on Comparing Two Projectiles