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2 years ago

The graph below describes the journey of a train between two cities

Mathematics

2 answers:

vovangra [49]2 years ago

8 0

Answer:

200km/h^2, 125km, 62.5km/h

Step-by-step explanation:

For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.

UkoKoshka [18]2 years ago

3 0

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time Velocity km/hr

0 Min ( 0 hr) 0

15 Min (1/4 hr) 50

45 Min (3/4 hr) 50

60 MIn ( 1 hr) 100

90 Min ( 3/2 hr) 100

120 Min ( 2hr) 0

Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)

= 200 km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

= 25/4 + 25 + 75/4 + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2 = 62.5 km/hr

Acceleration in first 15 min = 200 km/h²

Distance between two cities = 125 km

Average Speed of journey = 62.5 km/hr

Hope this helps..

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2 years ago

(1.5 x 10^2) X (2.0 x 10^3) Express your answer in scientific notation and standard form.

zavuch27 [327]

Answer:

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Step-by-step explanation:

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2 years ago

Emma is playing miniature golf. Her ball is 2 feet to the left of the right-hand wall. The hole is 4 feet to the left of the wal

NISA [10]

Answer:

<u></u>

<u>She should aim 6 feet down the wall</u>

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18
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3 years ago

Divide -3x^3-2x^2-x-2 by x-2

Rasek [7]

Let's do this by Briot-Ruffini

First: Find the monomial root

x - 2 = 0

x = 2

Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2

Copy the first coeficient

2 | -3 -2 -1 -2

-3

Multiply him by the root and sum with the next coeficient

2.(-3) = -6

-6 + (-2) = -8

2 | -3 -2 -1 -2

-3 -8

Do the same

2.(-8) = -16

-16 + (-1) = -17

2 | -3 -2 -1 -2

-3 -8 -17

The same,

2.(-17) = -34

-34 + (-2) = -36

2 | -3 -2 -1 -2

-3 -8 -17 -36

Now you just need to put the "x" after all these numbers with one exponent less, see

2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36

You may be asking what exponent -36 should be, and I say:

None or the monomial. He's like the rest of this division, so you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)

Just divide the rest by the monomial.

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kodGreya [7K]

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