Math Problem Statement

Average velocity of the object during the time interval 0s-2s

Average velocity of the object during the time interval 0s-2s

Solution

To calculate the average velocity of the object during the time interval from 0 to 2 seconds, we can use the formula for average velocity:

vavg=ΔxΔtv_{\text{avg}} = \frac{\Delta x}{\Delta t}

where:

  • Δx\Delta x is the change in position,
  • Δt\Delta t is the change in time.

From the graph, at t=0st = 0 \, \text{s}, the position x=0mx = 0 \, \text{m}. At t=2st = 2 \, \text{s}, the position x=2mx = 2 \, \text{m}.

So: Δx=2m0m=2m\Delta x = 2 \, \text{m} - 0 \, \text{m} = 2 \, \text{m} Δt=2s0s=2s\Delta t = 2 \, \text{s} - 0 \, \text{s} = 2 \, \text{s}

Thus, the average velocity is: vavg=2m2s=1m/sv_{\text{avg}} = \frac{2 \, \text{m}}{2 \, \text{s}} = 1 \, \text{m/s}

The average velocity of the object during the time interval from 0 seconds to 2 seconds is 1 m/s.

Would you like any further details or have any questions?


Here are five related questions you might find useful:

  1. What is the average velocity between 2 seconds and 3 seconds?
  2. How can you calculate the instantaneous velocity at t=1st = 1 \, \text{s}?
  3. What is the total displacement of the object from 0 to 6 seconds?
  4. How would you determine the average velocity over the entire 6-second interval?
  5. How does the direction of the velocity change over different time intervals?

Tip: The average velocity can be positive or negative depending on the direction of the object's motion.

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Math Problem Analysis

Mathematical Concepts

Kinematics
Velocity

Formulas

Average velocity formula: v_avg = Δx / Δt

Theorems

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Suitable Grade Level

Grades 9-12