Math Problem Statement

Acceleration worksheet.pdf

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Solution

The document you uploaded is an acceleration worksheet. Here's a breakdown of the questions from the worksheet, along with hints for solving them:

  1. A bus traveling at 4.8 m/s decelerates at 2.4 m/s². Calculate the time taken for the bus to come to a complete stop.

    • You can use the formula vf=vi+atv_f = v_i + at, where:
      • vf=0v_f = 0 (since the bus comes to a stop),
      • vi=4.8m/sv_i = 4.8 \, \text{m/s},
      • a=2.4m/s2a = -2.4 \, \text{m/s}^2. Solve for tt.
  2. A jet lands on an aircraft carrier at 30 m/s. What is its acceleration if it stops in 2.0 s?

    • Use the same formula vf=vi+atv_f = v_i + at, with:
      • vi=30m/sv_i = 30 \, \text{m/s},
      • vf=0v_f = 0,
      • t=2.0secondst = 2.0 \, \text{seconds}. Solve for aa.
  3. Velocity-time graph of a car:

    • a. Estimate the car's speed after 30 seconds using the graph.
    • b. Find the acceleration of the car between 20 and 40 seconds by calculating the slope of the graph in that interval.
  4. Velocity-time graph of a sprinter:

    • a. Find the sprinter's acceleration between 0 and 20 seconds.
    • b. Estimate the sprinter's speed after 8 seconds using the graph.
    • c. Determine the period when the sprinter’s speed was constant by looking for flat segments on the graph.
  5. Journey of a car between two traffic lights:

    • a. Find the car’s maximum speed in meters per second (estimate from the graph).
    • b. Find the car’s acceleration in the first 4 seconds by calculating the slope of the graph.

Would you like me to walk through any specific calculations or provide more details? Here are five related questions you might find useful:

  1. How do you calculate the total distance traveled from a velocity-time graph?
  2. What is the difference between constant speed and constant acceleration?
  3. How can you tell from a graph when an object is decelerating?
  4. What is the physical meaning of the slope in a velocity-time graph?
  5. How would increasing the mass of the bus in question 1 affect the time to stop?

Tip: Always check units in physics problems; consistent units lead to correct results!

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Math Problem Analysis

Mathematical Concepts

Kinematics
Acceleration
Deceleration

Formulas

v_f = v_i + at

Theorems

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Suitable Grade Level

Grades 9-11