A common graphical representation of motion along a straight line is the v vs. t

Question

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time 9.5 s is plotted on the horizontal axis and velocity upsilon on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call upsilon the velocity and a the acceleration, even What is the instantaneous acceleration a of the particle at t = 9.5 s ? Now that you have reviewed how to plot variables as a function of time, you can use the same technique and draw an acceleration vs. time graph, that is, the graph of (instantaneous) acceleration as a function of time. As usual in these types of graphs time is plotted on the horizontal axis, while the vertical axis is used to indicate acceleration.

Explanation / Answer

at time t=9.5 second instanteneous accelaration is zero because velocity is constant during t=8 s to t=14 s as shown in graph

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