Object accelerated at one G for one year

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SUMMARY

An object accelerated at 1G (9.81 m/s²) for one year (3.15569 x 10⁷ seconds) reaches a velocity of 10,000,012.1 m/s, calculated using the equation V = Vo + AT. To express this velocity as a fraction of the speed of light (c), which is 299,792,458 m/s, one must divide the calculated velocity by the speed of light. This results in a dimensionless number representing the object's speed relative to light.

PREREQUISITES
  • Understanding of basic kinematics, specifically the equation V = Vo + AT
  • Knowledge of gravitational acceleration (1G = 9.81 m/s²)
  • Familiarity with the speed of light (c = 299,792,458 m/s)
  • Basic mathematical skills for unit conversion and division
NEXT STEPS
  • Research the implications of relativistic speeds in physics
  • Learn about time dilation effects at high velocities
  • Explore the concept of fractional velocity of light in astrophysics
  • Study the equations of motion under constant acceleration
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Physics enthusiasts, students studying kinematics, and anyone interested in the effects of acceleration on velocity in relation to the speed of light.

Supersiiix4
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Hello, this is my first post on Physics Forums.


If an object at rest is accelerated at 1G (9.81m/s^2) for 1 year (3.15569 x 10^7 Seconds), using the
equation V= Vo +AT

V=( 9.81 m/s^2) x (3.15569 x 10^7 Seconds) = 10,000,012.1 M/S


What does it mean when it asks for units of fractional velocity of light?

Speed of light= 299 792 458 meters per second
 
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Supersiiix4 said:
Hello, this is my first post on Physics Forums.


If an object at rest is accelerated at 1G (9.81m/s^2) for 1 year (3.15569 x 10^7 Seconds), using the
equation V= Vo +AT

V=( 9.81 m/s^2) x (3.15569 x 10^7 Seconds) = 10,000,012.1 M/S


What does it mean when it asks for units of fractional velocity of light?

Speed of light= 299 792 458 meters per second

Welcome to the PF.

(it's best to use the correct capitalization on the units, so m/s is meters per second...) :smile:

They asking you to divide the velocity by the speed of light "c" to get a fractional number. Like, if your speed is half the speed of light, it can be written 0.5c
 

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