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Physics / Physics: Principles with Applications 6 / Chapter 2 / Problem 53P

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Estimate the average acceleration of the car in the previous (Fig. 2–35) when it is in

Chapter 2, Problem 53P

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QUESTION:

(II) Estimate the average acceleration of the car in the previous Problem (Fig. 2-35) when it is in (a) first, (b) third, and (c) fifth gear. (d) What is its average acceleration through the first four gears?

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QUESTION:

(II) Estimate the average acceleration of the car in the previous Problem (Fig. 2-35) when it is in (a) first, (b) third, and (c) fifth gear. (d) What is its average acceleration through the first four gears?

ANSWER:

Solution 53P:

Step 1 of 2:-

In this problem we have to find the average accelerations of the car in 1st, 3rd and 5th gear. We also have to determine the average acceleration in the 1st 4 gears.

a)

The average acceleration is,

${a}_{avg}=\frac{{v}_{f}-{v}_{i}}{{t}_{f}-{t}_{i}}$ ------------------(1)

$\Rightarrow{}a=\frac{14-0}{4-0}=14/4=3.5\ m/{s}^{2}$ .

So, the average acceleration in 1st gear is: $3.5\ m/{s}^{2}$ .

b)

The average acceleration is,

${a}_{avg}=\frac{{v}_{f}-{v}_{i}}{{t}_{f}-{t}_{i}}$ ------------------(1)

$\Rightarrow{}a=\frac{37-24}{14-9}=13/5=2.6\ m/{s}^{2}$ .

So, the average acceleration in 3rd gear is: $2.6\ m/{s}^{2}$ .

c)

The average acceleration is,

${a}_{avg}=\frac{{v}_{f}-{v}_{i}}{{t}_{f}-{t}_{i}}$ ------------------(1)

$\Rightarrow{}a=\frac{52-44}{50-27}=8/23=0.347\ m/{s}^{2}$ .

So, the average acceleration in 2nd gear is: $0.347\ m/{s}^{2}$ .

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