The most likely time for the instantaneous acceleration to be zero is t = 2.7 sec
Instantaneous acceleration : The acceleration at any given point in the motion is provided by the continuous time function a(t), which is written as a function of time. The derivative of the velocity function is used to calculate it. The graph of velocity versus time's slope, or instantaneous acceleration, is a measure of motion.
The slope of the tangent line to the graph at any given point on the graph corresponds to the instantaneous acceleration there. The instantaneous acceleration of the particle is equal to 0 when this line is horizontal and has a slope of 0.
According to the plot, these times correspond to the velocity function's extrema, which can be found at t = 1.75, 2.75, 3.25, and for all t = 4.
Thus the most likely time is t = 2.7
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