The graph in Fig. describes the acceleration as a function

Chapter 2, Problem 62P

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QUESTION:

The graph in Fig. P2.62 describes the acceleration as a function of time for a stone rolling down a hill starting from rest.

(a) Find the stone’s velocity at \(𝑡 = t=2.5 \mathrm{~s} t=7.5 \mathrm{~s} \text {. }\)

(b) Sketch a graph of the stone’s velocity as a function of time.

Equation Transcription:

.5x

Text Transcription:

t=2.5s t=7.5x

Questions & Answers

QUESTION:

The graph in Fig. P2.62 describes the acceleration as a function of time for a stone rolling down a hill starting from rest.

(a) Find the stone’s velocity at \(𝑡 = t=2.5 \mathrm{~s} t=7.5 \mathrm{~s} \text {. }\)

(b) Sketch a graph of the stone’s velocity as a function of time.

Equation Transcription:

.5x

Text Transcription:

t=2.5s t=7.5x

ANSWER:

Solution 62P

The change in speed is the area under  the versus time curve between lines at t= 2.5 s and t=7.5 s.

The area is,A=

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