Section 2.7 Instantaneous AccelerationFIGURE shows the

Chapter 2, Problem 25E

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QUESTION:

Section 2.7 Instantaneous Acceleration

Figure EX 2.25 shows the acceleration-versus-time graph of a particle moving along the \(x\)-axis. Its initial velocity is \(v_{0 x}=8.0 \mathrm{~m} / \mathrm{s}\) at \(t_{0}=0 \mathrm{~s}\). What is the particle's velocity at \(t=4.0 \mathrm{~s}\) ?

                                             

Equation Transcription:

Text Transcription:

x-axis

v_0x=8.0 m/s

t_0=0 s

t=4.0 s

Questions & Answers

QUESTION:

Section 2.7 Instantaneous Acceleration

Figure EX 2.25 shows the acceleration-versus-time graph of a particle moving along the \(x\)-axis. Its initial velocity is \(v_{0 x}=8.0 \mathrm{~m} / \mathrm{s}\) at \(t_{0}=0 \mathrm{~s}\). What is the particle's velocity at \(t=4.0 \mathrm{~s}\) ?

                                             

Equation Transcription:

Text Transcription:

x-axis

v_0x=8.0 m/s

t_0=0 s

t=4.0 s

ANSWER:

Step 1 of 4

Form the given acceleration time graph of a particle which is moving along x-axis, we need to calculate the particle’s velocity at  .

Given data,

Initial velocity,  

Initial time,  

Final time,  

To find,

Final velocity at time    is,  

 

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