Motion in a Plane NEET PYQs (1988–2026)

Solved Motion in a Plane PYQs

3 recent questions with answers. The full set of 75 is free to practise.

1. NEET 2026MediumUniform Circular Motion & Centripetal Acceleration
   Q1

   A car travels on a circular racetrack of radius $50m$, which is banked at an angle $\theta$. If the car travels at a speed $10{ms}^{-1}$, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be $10{ms}^{-2}$, the value of $\theta$ is:

   • A${\tan }^{-1}\left(\frac{1}{5}\right)$
   • B${\tan }^{-1}\left(\frac{2}{5}\right)$
   • C${\tan }^{-1}\left(\sqrt{3}/2\right)$
   • D${\tan }^{-1}\left(2\sqrt{3}\right)$

   Show answer & solution

   Correct answer: (A)

   For minimum wear and tear, the centripetal force is provided by the
   
   horizontal component of normal reaction.
   
   $\tan \theta =\frac{v^2}{rg}=\frac{10^2}{50\times 10}=\frac{100}{500}=\frac{1}{5}$.
   
   So $\theta ={\tan }^{-1}\left(\frac{1}{5}\right)$.
2. NEET 2023EasyProjectile Motion
   Q2

   A bullet is fired from a gun at the speed of $280m{s}^{-1}$ in the
   direction $30^{\circ }$ above the horizontal. The maximum height attained by the bullet is $\left(g=9.8m{s}^{-2},sin30^{\circ }=0.5\right)$
   
   [NEET 2023]

   • A2000m
   • B1000 m
   • C3000m
   • D2800m

   Show answer & solution

   Correct answer: (B)

   $$H=\frac{u^2{\sin }^2\theta }{2g}H=\frac{(280{)}^2\left({\sin }^{2}30\right)}{2\times 9.8}=\frac{280\times 280\times 0.5\times 0.5}{2\times 9.8}H=1000m$$
3. NEET 2022MediumVectors
   Q3

   If $\overrightarrow{F}=2^{\hat{i}}+\hat{j}-\hat{k}$ and $\overrightarrow{r}=3^{\hat{i}}+2^{\hat{j}}-2^{\hat{k}}$, then the scalar and vector products of $\overrightarrow{F}$ and $\overrightarrow{r}$ have the magnitudes respectively as:
   [NEET Re-2022]

   • A10,2
   • B$5,\sqrt{3}$
   • C$4,\sqrt{5}$
   • D. $10,\sqrt{2}$

   Show answer & solution

   Correct answer: (D)

   Given $\overrightarrow{F}=2\hat{i}+\hat{j}-\hat{k},\overrightarrow{r}=3\hat{i}+2\hat{j}-2\hat{k}$
   Scalar product $=\overrightarrow{F}\cdot \overrightarrow{r}$
   $$=2\times 3+1\times 2+(-1)\times (-2)=6+2+2=10$$Vector product $=\overrightarrow{F}\times \overrightarrow{r}$
   $$\left|\begin{array}{ccc}\hat{i}& \hat{j}& \hat{k}\\ 2& 1& -1\\ 3& 2& -2\end{array}\right|=\hat{i}(-2+2)-\hat{j}(-4+3)+\hat{k}(4-3)\overrightarrow{F}\times \overrightarrow{r}=\hat{j}+\hat{k}|\overrightarrow{F}\times \overrightarrow{r}|=\sqrt{2}$$

Topic-wise question count

Where NEET has asked from Motion in a Plane, most frequent first.

• Vectors28
• Uniform Circular Motion & Centripetal Acceleration22
• Projectile Motion17
• Relative Motion in Two Dimensions8

Year-wise Motion in a Plane questions in NEET

Number of questions from this chapter in each year's paper(s).