Do a unit analysis to determine the units for the velocity given by the formula knowing that u is a coefficient of friction with a value between 0 and 1. Suppose there's a car accident in which a pedestrian (let's call him Paolo) is hit by a car and throwninto the air. Paolo is injured but he will be okay. Based on where Paolo landed, police accidentinvestigators would like to know how fast the car was going when it hit him, as part of thefor determining who was at fault.process1. In 1983, John and Angela Searle published a paper at the Stapp Car Crash Conference whichincluding the following formula:V2ugscos (8) + u sin(0)Here v is the velocity of the car, g is acceleration due to gravity, u is the coefficient of friction(more on this later), s is the distance traveled by the pedestrian, and 0 is the initial angle ofthe hit pedestrian. The paper included this slightly disturbing image:END PONT1)BOUNCINGSLIGINGFISURE 5 FLIGT OF A PROJECTILE OVER A ROUGH PLANE0.66, g 9.81m/s2, s = 100rm, and 0 = 0.5 radians.Let's use metric units. Suppose =What was the velocity of the car?

Write the given data. μ=0.66g=9.81 m/s2s=100 mθ=0.5 rad Write the given expression for the velocity…

Answered: Suppose there's a car accident in which…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Do a unit analysis to determine the units for the velocity given by the formula knowing that u is a coefficient of friction with a value between 0 and 1.

Suppose there's a car accident in which a pedestrian (let's call him Paolo) is hit by a car and thrown
into the air. Paolo is injured but he will be okay. Based on where Paolo landed, police accident
investigators would like to know how fast the car was going when it hit him, as part of the
for determining who was at fault.
process
1. In 1983, John and Angela Searle published a paper at the Stapp Car Crash Conference which
including the following formula:
V2ugs
cos (8) + u sin(0)
Here v is the velocity of the car, g is acceleration due to gravity, u is the coefficient of friction
(more on this later), s is the distance traveled by the pedestrian, and 0 is the initial angle of
the hit pedestrian. The paper included this slightly disturbing image:
END PONT
1)
BOUNCING
SLIGING
FISURE 5 FLIGT OF A PROJECTILE OVER A ROUGH PLANE
0.66, g 9.81m/s2, s = 100rm, and 0 = 0.5 radians.
Let's use metric units. Suppose =
What was the velocity of the car?

Expert Solution

Step 1

Write the given data.

$\begin{array}{rcl} μ & = & 0.66 \\ g & = & 9.81 m / s^{2} \\ s & = & 100 m \\ θ & = & 0.5 rad \end{array}$

Write the given expression for the velocity of the car.

$v = \frac{\sqrt{2 μ g s}}{\cos θ + μ \sin θ}$

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