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A test car travels in a straight line along the $x$ axis. The graph in Figure 2.47 shows the car's position $x$ as a function of time. Find its instantaneous velocity at points $A$ through $G$.
$v_{G}=0$
Physics 101 Mechanics
Chapter 2
Motion along a Straight Line
Physics Basics
Motion Along a Straight Line
Motion in 2d or 3d
Newton's Laws of Motion
Once T.
September 21, 2020
Cornell University
Rutgers, The State University of New Jersey
Simon Fraser University
University of Sheffield
Lectures
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So the instantaneous velocity is it? Basically, at any point in the graph, it's going to be the slope tangent of the back. Jax versus T graph at that point in time And what I mean by Slope Tangent is that it's the slope Essentially is going to be a straight line that intersects that point the inter sex basically that t point. So in order to find the instantaneous velocity at a you simply find thie slope at a now the slope at a is equal to the slope at B, so that instantaneous velocity at this point would be 40 meters minus 20 meters, divided by three seconds minus zero seconds, and this would equal 6.67 meters per second. Now again, this is going to be because the slope at a equals a slope at the this is going to equal the slope at B. Rather, the velocity at B and the Tangent slope at point C is actually completely horizontal, which means that the slope is equal to zero. So we can say that the instantaneous velocity at Point C is going to be equal to zero meters per second and then at point D The slope at Point D is going to be equal to the slope at point E and point F. So we can say that the intern instantaneous velocity at these points is zero meters minus 40 meters, divided by six seconds minus five seconds. And this is going to equal negative 40.0 meters per second. And this is going to equal the instantaneous velocity at E and the instantaneous velocity at F again, much like the slope tangent at point C. The slope tangent at Point G is going to be completely horizontal, which means that the slope is again zero, which means that the instantaneous velocity at Point G is zero meters per second as well. And that would be your 1234567 points, the instantaneous velocity at all seven points in time. That is the end of the solution. Thank you for washing
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