How Does Time Dilation Influence Perceived Velocity?

In this conversation, the question is asked if time affects velocity. The speaker first explains the calculation for velocity on Earth, which is 144km/h. Then, using the time dilation formula, they show that an observer on the spacecraft would perceive the car to be traveling at 1440 km/h. The speaker then mentions a mistake in the formula and the need to consider length contraction. Ultimately, the answer to the question is that time does affect velocity, as seen through the different calculations in different frames of reference. In summary, the conversation discusses the relationship between time and velocity and how it is affected by different frames of reference.
  • #1
AleksanderPhy
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Hello I have a question about how time effects velocity:So we have a car on Earth traveling 200m with 5 seconds we get that car moves 40m/s and 40x3600=144000 and 144000:1000=144km/h so car on Earth travels 144km/h now let's consider a that there is observer on spacecraft traveling 0.5c through time dilation formula:t=1/√1-v/c we get that observer on spacecraft get's that car travels 200m with 0.5 seconds so observer thinks that car goes 1440 km/h. Does this mean that time effects velocity?
 
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  • #2
There's a mistake in your formula, it should be 1/√(1-(v/c)2). You also need to include the effect of length contraction but from the point of view of the spacecraft , the car is traveling at roughly 0.5c (at little more or a little less depending on the directions).

Velocity Addition Formula
 

1. How does time affect velocity?

Time and velocity have a direct relationship. As time increases, velocity also increases, assuming a constant acceleration. This can be seen in the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.

2. Does time affect the speed of an object?

Yes, time affects the speed of an object. As time increases, the speed of an object also increases. This is because speed is defined as the distance an object travels per unit of time.

3. How does time dilation affect velocity?

Time dilation, which is the slowing of time due to relative velocity, does not have a direct effect on velocity. However, changes in velocity can result in changes in time dilation.

4. Can time affect the direction of velocity?

No, time does not affect the direction of velocity. Velocity is a vector quantity, meaning it has both magnitude and direction. Time only affects the magnitude of velocity, not the direction.

5. How does time affect the acceleration of an object?

Time has a direct effect on acceleration. As time increases, acceleration decreases, assuming a constant force. This can be seen in the equation a = (v-u)/t, where a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time.

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