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A test car travels in a straight line along the x- axis.

Chapter 2, Problem 11E

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QUESTION:

A test car travels in a straight line along the x- axis. The graph in Fig. E2.11 shows the car’s position x as a function of time. Find its instantaneous velocity at points A through G.

                                                                                             

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QUESTION:

A test car travels in a straight line along the x- axis. The graph in Fig. E2.11 shows the car’s position x as a function of time. Find its instantaneous velocity at points A through G.

                                                                                             

ANSWER:

Step 1 of 4

We can calculate the instantaneous velocity at any point as the slope of the tangent line to the graph at that point.

Portion of the curve on which A and B lies appears to be approximately a line segment.

So, we can find the slope of the line, which gives the instantaneous velocity at the point.

 

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