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The race car starts from rest and travels along a straight road until it reaches a speed of $26 \mathrm{m} / \mathrm{s}$ in $8 \mathrm{s}$ as shown on the $v-t$ graph. The flat part of the graph is caused by shifting gears, Draw the $a-t$ graph and determine the maximum acceleration of the car.

$4 \mathrm{m} / \mathrm{s}^{2}$

Physics 101 Mechanics

Chapter 12

Kinematics of a Particle

Motion Along a Straight Line

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

Lectures

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well, let's find X relation that time is less than four seconds, so time is less than four seconds. Well, X relation is equal to be divided by t. Three is 14. Time is more. 14 divided before is 3.5 meters per second square and for time, t greater than are greater than four second right and less than classic and list them up. Second X relation is to be divided by t that low that is zero meters per second square. There is no changing but lost in this interval. Well for time. Tea is great than five second and it is less than eight seconds. Ex relation is very divided by T 26 minus 14 divided by eight minus five. Which is they called to for meter per second squared and maximum max relation. Well, maximum axe relation is equal to four meter per second square. Well, no, let's lot this result, right? So here his time exists and this is extra election year, right? Let's say this is three and this is for this is 3.5 in between. So let's say time is here forcing kins so from positive to force agains X elation is equal to 3.5 meters per second. Right. And then from 4 to 5, right? Ex relation is zero here and then from 5 to 8 seconds. Ex relation is for so you must be here. Sacks relation is for, uh for me to per second square. Still eight seconds. It So this is by

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