How Far Will You Travel Before Hitting the Mosquito?

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SUMMARY

The discussion focuses on a physics problem involving a mosquito flying towards a person. The mosquito travels at a velocity of 2.2 km/h, while the person moves towards it at 1.9 m/s, with an initial distance of 21.0 m between them. The calculations for displacement and time to collision were confirmed to be correct, with the answers being 7 meters and 2 seconds, respectively. The use of kinematic equations for both the person and the mosquito was essential in solving the problem.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of velocity and displacement concepts
  • Ability to convert units (km/h to m/s)
  • Familiarity with basic algebra for solving equations
NEXT STEPS
  • Study kinematic equations in detail, focusing on displacement and time calculations
  • Learn about unit conversion techniques, specifically between kilometers per hour and meters per second
  • Explore real-world applications of velocity and displacement in physics problems
  • Practice similar physics problems involving relative motion and collision scenarios
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Students studying physics, educators teaching kinematics, and anyone interested in solving motion-related problems in a practical context.

PhysicsNoob76
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Homework Statement



A mosquito flies toward you with a velocity of 2.2 km/h (E). If you are traveling toward the mosquito with a speed of 1.9 m/s, and a distance of 21.0 m separates you and the mosquito initially:

A) What will your displacement be when you hit the mosquito? (7)

B) How long will it take you to reach the mosquito? (2)

*I checked my answers with the check digits (7) and (2) and it did not equal 5.

Homework Equations



Dyou : Dyou(initial) + Vyou(initial)t + (1/2)(ayou^2)(t^2)

Dmos : Dmos(initial) + Vmos(initial)t + (1/2)(amos^2)(t^2)

The Attempt at a Solution



In attachment.
 

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Physics news on Phys.org
Did I do it right? See below.
 

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Yes, yours makes sense. I think this means that I've done the question correctly...

Thank you so much!
 

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