College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A graph of position versus time for a certain particle moving along the x-axis is shown in Figure P2.6. Find the instantaneous velocity at the instants (a) t = 1.00 s, (b) t = 3.00 s, (c) t = 4.50 s, and (d) t = 7.50 s.

(a)

To determine
The instantaneous velocity at   t=1.00s .

Explanation

Given Info:

The initial position of the particle in the segment is 0 .

The final position of the particle in the segment is 10.0â€‰m .

The initial time of the segment is 0 .

The final time of the segment is 2.00â€‰s .

Explanation:

The instantaneous velocity at any time is the slope of the x versus t graph at that time. The slope can be calculated by using two points on a straight segment of the curve, one point on each side of the point of interest.

The formula used to calculate the instantaneous velocity is,

v=xfâˆ’xitfâˆ’ti

• v is the instantaneous velocity.
• xf is the final position.
• xi is the initial position.
• tf is the initial time.
• ti is the final time.

Substitute 10

(b)

To determine
The instantaneous velocity at   t=3.00s .

(c)

To determine
The instantaneous velocity at   t=4.50s .

(d)

To determine
The instantaneous velocity at t=7.50s .

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