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:
- What is the direction of acceleration in this scenario?
- How do you determine if acceleration is positive or negative?
- What would the final velocity be if the time interval was doubled?
- How would you calculate the distance traveled during this deceleration?
- 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
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