Math Problem Statement

The speed of a car decreases uniformly from 46 m/s to 9 m/s in a time interval of 9 seconds. What is the magnitude of the car's acceleration? Round to the tenths place (one digit after the decimal). Numeric value ONLY. Do Not add m/s2.

Solution

To solve this problem, we'll use the formula for acceleration:

acceleration (a) = (final velocity - initial velocity) / time

Given:

initial_velocity = 46 # m/s final_velocity = 9 # m/s time_interval = 9 # seconds

Calculating acceleration

acceleration = (final_velocity - initial_velocity) / time_interval rounded_acceleration = round(abs(acceleration), 1) rounded_acceleration4.1

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

  1. What is the direction of acceleration in this scenario?
  2. How do you determine if acceleration is positive or negative?
  3. What would the final velocity be if the time interval was doubled?
  4. How would you calculate the distance traveled during this deceleration?
  5. How can you determine if the car comes to a complete stop?

Tip: When dealing with deceleration, remember that the acceleration value will be negative, but magnitude is always positive.

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Math Problem Analysis

Mathematical Concepts

Kinematics
Linear Motion

Formulas

acceleration = (final velocity - initial velocity) / time

Theorems

First Equation of Motion

Suitable Grade Level

Grades 9-11