$At the farthest point the velocity of particle will be zero. \ Differentiating the given equation of position and equating it with zero:$$\begin{aligned}x(t) &=5 t^{3}-9 t^{2}+7 \\x^{\prime}(t) &=15 t^{2}-18 t \\0 &=15 t^{2}-18 t \\t(15 t-18) &=0 \\t &=0 \\t &=\frac{18}{15}=1.2 \mathrm{~s}\end{aligned}$

$$$Thus, at $t=1.2 \mathrm{~s}$ particle will be at the farthest point. \\\\\underline{Justification:}\\The particle moves towards the left from $t \in[0,1.2)$. After that particle keeps moving in the positive x-direction.$

5 0

2 years ago

European contact in America sparked a positive change in the development of the Atlantic world

soldier1979 [14.2K]

Well, not in the development as it would have happened otherwise: the whole American civilization, many people and life style was wiped out., Africa was also suffering from all the slaves taken from it. Only the Europeans profited.

From the point of view of the natives: not.
From the point of view of the Europeans? yes.
From the point of view of the Africans? not.

Personally? I am a great fun of American languages and, and I wish they were better maintained and I think slavery is a prize to pay for anything. No, I don't think it was a positive change, not with all the deaths and suffering.

8 0

3 years ago

A city that uses 10 billion btu per month uses how many kilowatt-hours of energy?

VARVARA [1.3K]

Answer:

2.9 x 106 kilowatt-hours.

5 0

2 years ago