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The car starts from rest at $s=0$ and is subjected to an acceleration shown by the $a-s$ graph. Draw the $v-s$ graph and determine the time needed to travel $200 \mathrm{ft}$

$5.77 \mathrm{s}$

Physics 101 Mechanics

Chapter 12

Kinematics of a Particle

Motion Along a Straight Line

Newton's Laws of Motion

Applying Newton's Laws

University of Washington

Hope College

McMaster University

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Well, let's find a lost E. Incurable is less than three and great feet, right? Onda, using eight times DS is equal to be TV so integral our promises to s 12 gs physical too integral from there to the reedy p. So to our best physical too one divided by to the square and re is equal to 4.9. Talking through this, so s is equal to for younger defeat. So he is equal to 4.9 4.9 multiplied by fruit tree and red which is equal to 84 going to eat five oh feet per second now in internal. This is greater than free inbred feet and it is less than 450 feet. Let me scroll down uh, now using a d s physical too. We d really so integral off 24 minus 0.4 S. D s. A. Limits are from 300 to s. This is a whole to re t B. The only limits are 84 0.85 is the lower limit and liked upper limit to be so we had about 24 s minus 0.2 as Square, minus 5400 is equal to zero point wife Reese creator, minus so 36 in dread rate and for their that is equal to root minuses. Edifying Zito for It's Square less 48 second, minus 3000 to 6 and bread So people deficit to 450 feed. Then, uh, we lost he Lee is a quote to wrote minuses in appointing to see you for multiply by wouldn't burning 50 Spare this 48 multiply by 450 minus So 3600 right? So the is equal to 99.5 feat for a second on right So determine time needed to pass 200 feet. I'll be used Integral route S D s physical too integral for 4.9 DT. Let's write down the limits from the 200 then from zero to t so two times 200 is equal to or 0.90. So t is able to find 17 seven second

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