Physics Force & Motion ETEA 2023
PMDC Verified Question 40 of 137
Doubling the initial velocity of a projectile while keeping all other parameters the same, the height reached by the projectile increases by:
A
Two times
B
Three times
C
Four times
D
Remains the same
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Four times
Concept:

The maximum height of a projectile is proportional to the square of its initial velocity.

Formula:

$$ H = \frac{v_i^2 \sin^2\theta}{2g} $$

Solution:

  • Height \( H \) varies directly with \( v_i^2 \).


  • If \( v_i \) is replaced by \( (2v_i) \), then: $$ H_{new} \propto (2v_i)^2 = 4v_i^2 $$


  • Thus, \( H_{new} = 4H \). The height strictly increases by a factor of four.


Why other options are incorrect:

Assuming a linear relationship (ignoring the square) would wrongly suggest it increases by two times.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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