NEET Motion in a Plane PYQ practice sheet

4 previous-year NEET Physics questions from Motion in a Plane, newest papers first. Motion in a Plane carries 4 of the Physics questions in NEET 2020 to 2026, so this is a good place to test yourself after revising the chapter. Marking: +4 correct, −1 wrong.

1. 1.

   NEET 2023

   A bullet is fired from a gun at the speed of $280\ \mathrm{m\,s^{-1}}$ in the direction $30^\circ$ above the horizontal. The maximum height attained by the bullet is $(g = 9.8\ \mathrm{m\,s^{-2}},\ \sin 30^\circ = 0.5)$ :

   • (A)
     $3000\ \mathrm{m}$
   • (B)
     $2800\ \mathrm{m}$
   • (C)
     $2000\ \mathrm{m}$
   • (D)
     $1000\ \mathrm{m}$
2. 2.

   NEET 2022

   A ball is projected with a velocity, 10 $\text{ms}^{-1}$, at an angle of $60^{\circ}$ with the vertical direction. Its speed at the highest point of its trajectory will be:

   • (A)
     10 $\text{ms}^{-1}$
   • (B)
     zero
   • (C)
     $5\sqrt3\ \text{ms}^{-1}$
   • (D)
     5 $\text{ms}^{-1}$
3. 3.

   NEET 2021

   A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it equals $4R$. The angle of projection, $\theta$, is then given by :

   • (A)
     $\theta = \cos^{-1}\left(\dfrac{\pi^{2}R}{gT^{2}}\right)^{1/2}$
   • (B)
     $\theta = \sin^{-1}\left(\dfrac{\pi^{2}R}{gT^{2}}\right)^{1/2}$
   • (C)
     $\theta = \sin^{-1}\left(\dfrac{2gT^{2}}{\pi^{2}R}\right)^{1/2}$
   • (D)
     $\theta = \cos^{-1}\left(\dfrac{gT^{2}}{\pi^{2}R}\right)^{1/2}$
4. 4.

   NEET 2021

   A car starts from rest and accelerates at $5\ \mathrm{m/s^2}$. At $t = 4\ \mathrm{s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t = 6\ \mathrm{s}$ ? (Take $g = 10\ \mathrm{m/s^2}$)

   • (A)
     $20\sqrt{2}\ \mathrm{m/s},\ 0$
   • (B)
     $20\ \mathrm{m/s},\ 0$
   • (C)
     $20\sqrt{2}\ \mathrm{m/s},\ 10\ \mathrm{m/s^2}$
   • (D)
     $20\ \mathrm{m/s},\ 5\ \mathrm{m/s^2}$