Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2010 · Physics · Motion in Two Dimensions

The speed of a projectile at its maximum height is half of its...

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

Options

  1. A60∘60^{\circ}
  2. B15∘15^{\circ}
  3. C30∘30^{\circ}
  4. D45∘45^{\circ}

Correct answer

A. 60∘60^{\circ}

Step-by-step solution

The speed of a projectile at its maximum height \mathrmv′=v0cos⁡θv02=v0cos⁡θcos⁡θ=12θ=60∘\begin{aligned} \mathrmv^{\prime}& =\mathrm{v}_{0} \cos \theta\\ \frac{\mathrm{v}_0}{2}& = \mathrm{v}_{0} \cos \theta\\ \cos \theta& =\frac{1}{2}\\ \theta& =60^{{}^{\circ}} \end{aligned}
Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: NEET 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of ω… NEET 2024A particle is executing uniform circular motion with velocity v and acceleration a .… NEET 2023A ball is projected from point A with velocity 20 ~m ~s^ -1 at an angle 60^ ∘ to the… NEET 2023A bullet is fired from a gun at the speed of 280m s ^ - 1 in the direction 30 ° above the… NEET 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m^2 about an… NEET 2023A ball is projected with a velocity, 10 ms ^ - 1 , at an angle of 60 ° with the vertical… NEET 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ ∘ above… NEET 2022 Full Motion in Two Dimensions list All NEET PYQs