Answer:
maximum possible velocity = 
Explanation:
centripetal acceleration when the car is going in the circle must be less than the maximum friction for the car to not slip.
centripetal acceleration 
where v is the velocity of car and r is the radius of circle
maximum friction = umg
where u is the coefficient of static friction.
therefore
therefore maximum possible velocity = 
The steel traps the heat more making it hotter,you put this twice by the way.
Answer:
The time it takes the ball to rise equals the time it takes to fall.
Explanation:
because what goes up at some point must come down
The time
it takes for the key to fall 44 m is

(notice I'm taking the downward direction to be positive)
The boat, moving at a presumably constant speed, then has 3.0 s to travel 19 m to the point of impact, which means its speed must be

Well,
arctan is a bijection from R into (-pi/2 , pi/2)*and
pi is a period of tangent function:
so
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4)
we finally get :
<span>arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4
</span>
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