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Solved: (a) By taking the slope of the curve in Figure

Chapter 2, Problem 59

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QUESTION:

(a) By taking the slope of the curve in Figure \(2.60\), verify that the velocity of the jet car is \(115 \mathrm{~m} / \mathrm{s}\) at \(t=20 \mathrm{~s}\).

(b) By taking the slope of the curve at any point in Figure \(2.61\), verify that the jet car's acceleration is \(5.0 \mathrm{~m} / \mathrm{s}^{2}\).

Equation Transcription:

 

Text Transcription:

2.60

115 m/s

t=20 s

2.61

5.0 m/s^2

Questions & Answers

QUESTION:

(a) By taking the slope of the curve in Figure \(2.60\), verify that the velocity of the jet car is \(115 \mathrm{~m} / \mathrm{s}\) at \(t=20 \mathrm{~s}\).

(b) By taking the slope of the curve at any point in Figure \(2.61\), verify that the jet car's acceleration is \(5.0 \mathrm{~m} / \mathrm{s}^{2}\).

Equation Transcription:

 

Text Transcription:

2.60

115 m/s

t=20 s

2.61

5.0 m/s^2

ANSWER:

ANSWER:

a)

Step 1:-

In the 1st diagram, the curve represents the position versus time graph.

The slope of the curve will give the velocity of the object.

We need to prove the velocity at time  must be 115 m/s.

So, let’s calculate the slope at that point and a neighbouring point.

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