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Surviving a Large Deceleration On July $13,1977,$ while on atest drive at Britain's Silverstone racetrack, the throttle on DavidPurley's car stuck wide open. The resulting crash subjected Purleyto the greatest $^{4} g-$ force" ever survived by a human-he deceleratedfrom 173 $\mathrm{km} / \mathrm{h}$ to zero in a distance of only about 0.66 $\mathrm{m} .$ Calculate the magnitude of the acceleration experienced by Purley(assuming it to be constant), and express your answer in units ofthe acceleration of gravity, $g=9.81 \mathrm{m} / \mathrm{s}^{2} .$

178.3$g$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

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So in this problem we have experiment in this experiment. Ah, human survive a deceleration when he grows from a velocity Initial velocity off 173 limiters per hour to a final velocity off zero filament To spur our, uh in just in a distance off general point 66 meters. We want to calculate the gravity's acceleration experienced by the humor. Okay, so let's see have a variation of velocity and I have a distance or we can use be scratch equals vizier Scratch less to a doubt x So here we're going to find that the final velocity zero the initial velocity 17 tree Actually, let's change the kilometers per hour, two meters per second and the way which we do This is just dividing one, 73 for 3.6. So this is going to be equal two 3.6 is great to be equal to 48 point 05 meters per second. So let's calculate that we have here 48 point 05 square. Well, us too. Hey, times 0.66 So Okay, let's calculate this. The acceleration that the human experience was just was equal to one 1000 749 point five meters per second squared. If we divided this by Dexter The Gravity deceleration We're going to have the acceleration experience by the human deceleration because to one seven eight point tree tree Jeez, rich Jesus, the gravity, the separation. So that's your final answer. Thanks for watching.

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