Solving Speed, Road and Time Equations

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    Speed Time
In summary, calculating speed involves dividing the distance traveled by the time it took to travel that distance. To solve for distance, multiply the speed by the time, and to solve for time, divide the distance by the speed. Average speed is the total distance divided by the total time, while instantaneous speed is the speed at any given point in time. The same speed equation can be used for any type of motion, but more complex motions may require advanced equations. Unit conversion can be done using conversion factors, such as multiplying miles per hour by 1.609 to convert to kilometers per hour.
  • #1
-Physician
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Speed is expressed with v.
It's Unit is m(meter)/s(second) (m/s)
Formula:
v=s/t

Road is expressed with s.
It's unit is m(meter), (m)
Formula:
s=v*t.

Time is expressed with t.
It's unit is s(second) (s)
Formula:
t=s/v

---
Finding formulas:

(Finding s(road)).
Equation:
v=s/t*t=v*t=s/t*t/1=s*t/t(simplify t and t)= s . That means s=v*t

(Finding t(time))
After we found s formula, we can find the t formula, using the s formula.
Equation:
s=v*t:v=s/v=v*t/1:v/1=v*t/1*1/v=v*t/v(simplify v and v)=t . That means t=s/v

(Finding v(speed)).
After we found the s formula, using v formula, we can also find v formula using s formula.
Equation:
s=v*t:t=s/t=v*t/1:t/1=v*t/1*1/t=v*t/t(simplify t and t)=v. That means v=s/t

--------------------

The tasks:

v=200m/s=...km/h
v=200*1/1000m/1/3600s=200*3600h/1000km(simplify 2 zeros with 2 zeros)=7200h/10km(simplify 1 zero with 1 zero)=720km/h.

s=3,008km = 3008m
t=32h = 115200s
s=v*t:t=s/t=v*t/1:t/1=v*t/1*1/t=v*t/t(simplify t and t)=v=3008m/115200s=0.0261111m/s
---
v=0.0261111m/s
t=32h = 115200s
v=s/t*t=v*t=s/t*t/1=s*t/t(simplify t and t)=s=0.261111m/s*115200s(simplify s and s)=3007.9987m (almost 3008m(3,008km(s))).
---
v=0.0261111m/s
s=3,008km = 3008m
s=v*t:v=s/v=v*t/1:v/1=v*t/1*1/v=v*t/v(simplify v and v)=t=3008m/0.0261111m/s(simplify m and m)= 115200.04 (almost 115200s(t)).

Thank you,
New Physician, Besfort Shala.
 
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  • #2
And your question is...?
 
  • #3
None?
 
  • #4
-Physician said:
None?

So you just posted this because the formula's looked nice??
 
  • #5
What's the purpose of the post then? :uhh:
 
  • #6
Since the OP is apparently unable to explain the purpose of this thread, I am locking it.
 

1. How do I calculate speed?

Speed is calculated by dividing the distance traveled by the time it took to travel that distance. The formula for speed is: speed = distance / time.

2. How do I solve for distance or time in a speed equation?

To solve for distance, you can multiply the speed by the time. To solve for time, you can divide the distance by the speed. Remember to use consistent units (such as miles per hour) when solving these equations.

3. What is the difference between average speed and instantaneous speed?

Average speed is the total distance traveled divided by the total time it took to travel that distance. Instantaneous speed is the speed at any given point in time, which can vary throughout the journey.

4. Can I use the same speed equation for any type of motion?

Yes, the basic speed equation (speed = distance / time) can be used for any type of motion as long as the units are consistent. However, for more complex motions such as acceleration or deceleration, you may need to use more advanced equations.

5. How do I convert units in a speed equation?

To convert units in a speed equation, you can use unit conversion factors. For example, if you need to convert miles per hour to kilometers per hour, you can multiply the miles per hour value by 1.609 to get the equivalent in kilometers per hour.

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