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Physics Motion in a Plane Mix Matrix Match Questions
Published on: September 12, 2026

Trajectory of particle in a projectile motion is given as:

y = x – . Here, x and y are in meters. For this projectile motion match the following with g = 10 m/s 2 .

Column I

Column II

(i) Angle of projection

[A] 20m

(ii) Angle of velocity

with Horizontal after 4s

[B] 80 m

(iii) Maximum height

[C] 45º

(iv) Horizontal range

[D] tan–1(1/2)

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
C
Step 1: The given trajectory equation is:
$$ y = x - \frac{g}{2u^2} x^2 $$
The term for gravity $g = 10 \text{ m/s}^2$ indicates that this is a projectile motion equation.

Step 2: From this equation, we can identify that the vertical motion is influenced by the acceleration due to gravity. The general form for projectile motion is given by:
$$ y = x \tan(\theta) - \frac{g}{2u^2 \cos^2(\theta)} x^2 $$
By comparing, we can conclude that $\tan(\theta) = 1$ (coefficient of $x$ term), which gives us the angle of projection:
$$ \theta = 45^\circ $$

Step 3: Let's analyze the angle of projection for (i): Looking at the table, option [C] is 45º.
Therefore, the correct answer for (i) matches [C].

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