2.6 Calculate the average velocity of the car in different time interval

In summary, the conversation revolved around finding the average velocity of an object using the equation $\bar{v}=\frac{\Delta x}{\Delta t}$, with the units being in meters per second. The poster also shared their attempt at solving a physics homework problem using this equation.
  • #1
karush
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OK I just had time to post and hopefully ok but still typos maybe
the graph was done in Deimos wanted to try tikx but not sure about the polynomial

trying to as many physics homework before classes start on Aug 26

Mahalo
 

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  • #2
$x(t) = at^2-bt^3$

$\bar{v} = \dfrac{\Delta x}{\Delta t} = \dfrac{x(t_2)-x(t_1)}{t_2-t_1}$

units will be in $m/s$, not $m/s^2$ ... try again
 
  • #3
skeeter said:
$x(t) = at^2-bt^3$

$\bar{v} = \dfrac{\Delta x}{\Delta t} = \dfrac{x(t_2)-x(t_1)}{t_2-t_1}$

units will be in $m/s$, not $m/s^2$ ... try again
$x(t)=1.50(t)^2-0.50(t)^3$

$\bar{v} = \dfrac{\Delta x}{\Delta t} = \dfrac{x(t_2)-x(t_1)}{t_2-t_1}$
so if $t_2=2$ and $t_1=0$ then

$\bar{v}=\dfrac{x(2)-x(0)}{2-0}=\dfrac{1.50(2)^2-0.50(2)^3-0}{2}=\dfrac{6-4}{2}=2\, m/s$
 
Last edited:
  • #4
karush said:
$x(t)=1.50(t)^2-0.50(t)^3$

$\bar{v} = \dfrac{\Delta x}{\Delta t} = \dfrac{x(t_2)-x(t_1)}{t_2-t_1}$
so if $t_2=2$ and $t_1=0$ then

$\bar{v}=\dfrac{x(2)-x(0)}{2-0}=\dfrac{1.50(2)^2-0.50(2)^3-0}{2}=\dfrac{6-4}{2}=2\, m/s$
$\dfrac{6-4}{2} = \dfrac{2}{2} = 1 \, m/s$
 

FAQ: 2.6 Calculate the average velocity of the car in different time interval

1. What is the formula for calculating average velocity?

The formula for average velocity is displacement divided by time, or v = Δx/Δt.

2. How do you find the displacement of a car?

The displacement of a car can be found by subtracting the initial position from the final position. This can be done by measuring the distance traveled or using the coordinates of the starting and ending points.

3. What units are used for average velocity?

Average velocity is typically measured in meters per second (m/s) or kilometers per hour (km/h), depending on the units used for displacement and time.

4. Can the average velocity of a car change over time?

Yes, the average velocity of a car can change over time if the car's speed or direction changes. It can also change if the time interval used for calculation is different.

5. How is average velocity different from instantaneous velocity?

Average velocity is calculated over a specific time interval, while instantaneous velocity is the velocity at a specific moment in time. Average velocity takes into account the overall change in position, while instantaneous velocity shows the speed and direction at a single point in time.

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