Roller Coaster Velocity Problem: Figure 1-2jshows the velocity, v(x), in ft/s, of a

Chapter 1, Problem 12

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Roller Coaster Velocity Problem: Figure 1-2jshows the velocity, v(x), in ft/s, of a rollercoaster car at time x, in seconds, after it startsdown the first hill.1234567810203040506070x (s)v(x) (ft/s)Figure 1-2ja. On a copy of the figure, draw tangent linesat the points where x = 2, 5, and 6. Use thetangent lines to estimate the instantaneousrate of change of velocity at these times.b. The instantaneous rates in part a arederivatives of v(x) with respect to x. Whatunits must you include in your answers?What physical quantity is this?

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