1-cos(0) sin(@) velocity is given by 2pgs if 0 sOS 2arctan(). use the trig identity to prove that the maximum =tan 1\

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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1- cos(@)
sin(0)
velocity is given by 2pgs if 0S05 2 arctan().
17.
use the trig identity
= tan
to prove that the maximum
Transcribed Image Text:1- cos(@) sin(0) velocity is given by 2pgs if 0S05 2 arctan(). 17. use the trig identity = tan to prove that the maximum
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?
Transcribed Image Text: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?
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