Published by:
CGP EDU Academic Team
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
Text Solution
Verified by ExpertsThe 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].
$$ y = x - \frac{g}{2u^2} x^2 $$
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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