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Physics, 05.10.2021 14:00 Treshard

28. A car with an initial velocity of 24.5 m/s east has an acceleration of 4.2 m/s2 west. What is its displacement
at the moment that its velocity is 18.3 m/s east?

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ansver
Answer from: Quest

d

explanation:

i think the answer is d. but im not sure!

ansver
Answer from: Quest

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles

ansver
Answer from: Quest
The answer is  a.first and third quarters 
ansver
Answer from: Quest

we have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is [2,\infty).

if we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

let us know find its inverse.

y=(x-5)^{2}+2

upon interchanging x and y, we get:

x=(y-5)^{2}+2

let us now solve this function for y.

(y-5)^{2}=x-2\\ y-5=\pm \sqrt{x-2}\\ y=5\pm \sqrt{x-2}\\

hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

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28. A car with an initial velocity of 24.5 m/s east has an acceleration of 4.2 m/s2 west. What is...

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