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Why time is taken in the X-axis in a distance time graph?
Because time is considered to be the independent variable, with distance being dependent on the time elapsed since some starting point. Also, distance can be treated as function of time but time will not be a function of distance unless the object is always moving away from the initial position. If the object is stationary or returning, the distance-to-time relationship becomes one-to-many which is not permitted for a function.
What is the formula of distance as a function of time?
Since distance is rate multiplied by the amount of time at such a rate, this can be modeled D=rt
What is the formula for distance as a function of acceleration and time?
Distance d=1/2 at2 is the formula.
Is the time you take to go to the library a function of the distance to the library explain why or why not?
Yes, the time taken to go to the library can be considered a function of the distance to the library. In mathematical terms, a function is a relation between a set of inputs (distance) and a set of possible outputs (time taken). As the distance to the library increases, the time taken to travel there also typically increases, assuming a constant speed of travel. This relationship between distance and time aligns with the definition of a function, making it a valid example of a functional relationship.
Will a bus and a car travel the same distance at a same speed in same time?
Yes. Time is a function of distance and speed, and independent of the method of achieving that speed over the distance. time = distance ÷ speed
Why time is taken in the X-axis in a distance time graph?
Because time is considered to be the independent variable, with distance being dependent on the time elapsed since some starting point. Also, distance can be treated as function of time but time will not be a function of distance unless the object is always moving away from the initial position. If the object is stationary or returning, the distance-to-time relationship becomes one-to-many which is not permitted for a function.
Which would be the best name for a function that takes the distance from home to work and returns the amount of time to get to work?
Distance(time)
Is time a function of distance in the context of physics?
In the context of physics, time and distance are related but not interchangeable. Time is not a function of distance, but rather a separate dimension that is intertwined with space in the concept of spacetime. Time is a measure of the duration of events, while distance is a measure of the separation between objects in space.
How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
How do you find the acceleration and initial velocity given only the distance and time?
If you are only given total distance and total time you cannot. If you are given distance as a function of time, then the first derivative of distance with respect to time, ds/dt, gives the velocity. Evaluate this function at t = 0 for initial velocity. The second derivative, d2s/dt2 gives the acceleration as a function of time.
Which would be the best name for a function that takes the distance from home to work and returns the amount of the time to get to work?
Distance(time)
What is the formula of distance as a function of time?
Since distance is rate multiplied by the amount of time at such a rate, this can be modeled D=rt
What is the formula for distance as a function of acceleration and time?
Distance d=1/2 at2 is the formula.
Is the time you take to go to the library a function of the distance to the library explain why or why not?
Yes, the time taken to go to the library can be considered a function of the distance to the library. In mathematical terms, a function is a relation between a set of inputs (distance) and a set of possible outputs (time taken). As the distance to the library increases, the time taken to travel there also typically increases, assuming a constant speed of travel. This relationship between distance and time aligns with the definition of a function, making it a valid example of a functional relationship.
Will a bus and a car travel the same distance at a same speed in same time?
Yes. Time is a function of distance and speed, and independent of the method of achieving that speed over the distance. time = distance ÷ speed
Which would be the best name for a function that takes the distance from home home to work and returns the amount of time to get to work?
Distance(time)
If speed is a function of time or velocity is a function of time Then what should you do to calculate distance?
Distance equals speed multiplied by time. For example, speed is 72 km/h and time is 200 seconds or 200/3600=0,0(5) hours, so the distance traveled is 72*0,0(5)=4 kilometers.
