Math Problem Statement

A car travels northward on a straight stretch of highway. The graph shows the velocity of the car during a 20-second time interval. What is the acceleration of the car during the interval AB?

Solution

To solve the problem, we need to determine the acceleration of the car during the interval AB based on the velocity-time graph provided.

Step-by-Step Solution:

  1. Understand the graph: The graph depicts velocity versus time. The slope of the line in this graph represents the acceleration, since: Acceleration=ΔvΔt\text{Acceleration} = \frac{\Delta v}{\Delta t} where:

    • Δv\Delta v is the change in velocity,
    • Δt\Delta t is the change in time.
  2. Identify interval AB: On the graph, find points A and B. From what I can interpret:

    • At point A, the car is at rest (velocity = 0).
    • At

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Math Problem Analysis

Mathematical Concepts

Kinematics
Acceleration
Velocity-Time Graphs

Formulas

Acceleration = (Δv) / (Δt)
Slope of velocity-time graph = Acceleration

Theorems

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Suitable Grade Level

Grades 9-11