Mathematics
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The displacement of a particle d (in km) as a function of time t (in hours) is given

The displacement of a particle d (in km) as a function of time t (in hours) is given by: () = 2^3 + 5^2 − 3 Find the displacement, velocity and acceleration at t = 4 hours. Indicate the correct units for each of these quantities.
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DEJAHHARRIS6055
DEJAHHARRIS6055
4,6(43 marks)

Step-by-step explanation:

The displacement of a particle d (in km) as a function of time t (in hours) is given by :

d=2t^3+5t^2-3

Displacement at t = 4 hours,

d(4)=2(4)^3+5(4)^2-3=205\ km

Velocity of particle is given by :

v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t

Velocity at t = 4 hours,

v=6(4)^2+10(4)=136\ km/h

Acceleration of the particle is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10

At t = 4 hours,

a=12(4)+10=58\ km/h^2

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.

cameron12502
cameron12502
5,0(22 marks)

When is this due and sure I will write a essay.

The Coexistence of Good and Evil

The most important theme of To Kill a Mockingbird is the book’s exploration of the moral nature of human beings—that is, whether people are essentially good or essentially evil. The novel approaches this question by dramatizing Scout and Jem’s transition from a perspective of childhood innocence, in which they assume that people are good because they have never seen evil, to a more adult perspective, in which they have confronted evil and must incorporate it into their understanding of the world. As a result of this portrayal of the transition from innocence to experience, one of the book’s important subthemes involves the threat that hatred, prejudice, and ignorance pose to the innocent: people such as Tom Robinson and Boo Radley are not prepared for the evil that they encounter, and, as a result, they are destroyed. Even Jem is victimized to an extent by his discovery of the evil of racism during and after the trial. Whereas Scout is able to maintain her basic faith in human nature despite Tom’s conviction, Jem’s faith in justice and in humanity is badly damaged, and he retreats into a state of disillusionment.

The moral voice of To Kill a Mockingbird is embodied by Atticus Finch, who is virtually unique in the novel in that he has experienced and understood evil without losing his faith in the human capacity for goodness. Atticus understands that, rather than being simply creatures of good or creatures of evil, most people have both good and bad qualities. The important thing is to appreciate the good qualities and understand the bad qualities by treating others with sympathy and trying to see life from their perspective. He tries to teach this ultimate moral lesson to Jem and Scout to show them that it is possible to live with conscience without losing hope or becoming cynical. In this way, Atticus is able to admire Mrs. Dubose’s courage even while deploring her racism. Scout’s progress as a character in the novel is defined by her gradual development toward understanding Atticus’s lessons, culminating when, in the final chapters, Scout at last sees Boo Radley as a human being. Her newfound ability to view the world from his perspective ensures that she will not become jaded as she loses her innocence.

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