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frutty [35]
3 years ago
6

A race car accelerates at 2 m/s2 from 12 m/s to 18 m/s. Find distance and time

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

Distance = 45 meters

Time = 3 seconds

Step-by-step explanation:

Here, we want to calculate distance and time

To find the time, we can use one of the Newtons law of motion

V = U + at

In this question

V = final velocity = 18 m/s

U = initial velocity = 12 m/s

a = acceleration

Thus;

18 = 12 + 2(t)

18-12 = 2t

2t = 6

t = 6/2

t = 3 seconds

Mathematically we can also find the distance using one of the equation of motion;

D = ut + 1/2 at^2

D = 12(3) + 1/2 * (2) * 3^2

D = 36 + 9

D = 45 m

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A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w
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r = x -  \frac{3}{2}

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We put the values into the volume of cone to get.

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi =  \frac{1}{3} \times  \pi \:  {r}^{2}  \times 6

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Jenny marks 414 different points on the coordinate plane.

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The possible values of y include all the integers between -12 and 12; that is,

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The total number of points that Jenny marks = 18 × 23 = 414.

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