/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 25 If a car traveling at \(28 \math... [FREE SOLUTION] | 91Ó°ÊÓ

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If a car traveling at \(28 \mathrm{m} / \mathrm{s}\) is brought to a full stop in \(4.0 \mathrm{s}\) after the brakes are applied, find the average acceleration during braking.

Short Answer

Expert verified
Answer: The average acceleration during braking is -7 m/s².

Step by step solution

01

Identify the given values

The given values are: Initial velocity (vi) = 28 m/s Final velocity (vf) = 0 m/s (since the car comes to a full stop) Time taken (t) = 4.0 s
02

Write down the formula for average acceleration

The formula for average acceleration (a) is: a = (vf - vi) / t
03

Substitute the given values into the formula and solve

We plug in the given values into the formula: a = (0 - 28) / 4.0
04

Calculate the average acceleration

Performing the calculations: a = -28 / 4.0 a = -7 \mathrm{m/s^2}
05

Final Answer

The average acceleration during braking is -7 m/s². Note that the negative sign indicates that the car is decelerating, or slowing down.

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