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2 years ago

7

Help on this math problem!! if there is any work that can be shown it would be great thanks!!!

1 answer:

horrorfan [7]2 years ago

4 0

Answer:

4230.44

Step-by-step explanation:

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A tractor, starting from a stationary position, drives down the road. It accelerates at 4 m/s2 for 10 seconds, then travels at a

chubhunter [2.5K]

Answer:

B. 1400 meters.

Step-by-step explanation:

According to the statement, there are two stages for the motion of the tractor, in which we need to find the travelled distance:

(i) <em>Uniform accelerated motion.</em>

<em /> $s_{i} = s_{o,i} +v_{o,i}\cdot t_{i} + \frac{1}{2}\cdot a\cdot t_{i}^{2}$ <em> </em>(1)

$v_{i} = v_{o,i}+a\cdot t_{i}$ (2)

Where:

$s_{o,i}$ - Initial position of the tractor, measured in meters.

$s_{i}$ - Final position of the tractor, measured in meters.

$v_{o,i}$ - Initial velocity of the tractor, measured in meters per second.

$t_{i}$ - Time, measured in seconds.

$a$ - Acceleration, measured in meters per square second.

$v_{i}$ - Final velocity of the tractor, measured in meters per second.

(ii) <em>Uniform motion.</em>

$s_{ii} = s_{i} + v_{i}\cdot t_{ii}$ (3)

Where:

$s_{ii}$ - Final position of the tractor, measured in meters.

$t_{ii}$ - Time, measured in seconds.

The distance covered by the tractor ( $\Delta s$ ), measured in meters, is:

$\Delta s = s_{ii}$ (4)

If we know that $a = 4\,\frac{m}{s^{2}}$ , $t_{i} = 10\,s$ , $v_{o,i} = 0\,\frac{m}{s}$ , $s_{o,i} = 0\,m$ and $t_{ii} = 30\,s$ , then distance covered by the tractor is:

By (1) and (2):

$s_{i} = 0\,m + \left(0\,\frac{m}{s} \right)\cdot (10\,s)+ \frac{1}{2}\cdot \left(4\,\frac{m}{s^{2}} \right) \cdot (10\,s)^{2}$

$s_{i} = 200\,m$

$v_{i} = \left(0\,\frac{m}{s} \right)+\left(4\,\frac{m}{s^{2}} \right)\cdot (10\,s)$

$v_{i} = 40\,\frac{m}{s}$

By (3):

$s_{ii} = 200\,m + \left(40\,\frac{m}{s} \right)\cdot (30\,s)$

$s_{ii} = 1400\,m$

By (4):

$\Delta s = 1400\,m$

The correct answer is B.

4 0

3 years ago

the dimensions of a smaller rectangle are 3ft by 9ft the dimensions of a larger rectangle are 5ft by 15ft find the ratio of the

Alexxandr [17]

The ratio of the area of the smaller rectangle to the area of the larger

rectangle is $\frac{9}{25}$

Step-by-step explanation:

The formula of the area of a rectangle is A = l × w, where l and w

are its dimensions

The dimensions of a smaller rectangle are 3 ft by 9 ft
The dimensions of a larger rectangle are 5 ft by 15 ft

We want to find the ratio of the area of the smaller rectangle to

the area of the larger rectangle

∵ The dimensions of the smaller rectangle are 3 ft and 9 ft

∴ The area of the smaller rectangle = 3 × 9 = 27 feet²

∵ The dimensions of the larger rectangle are 5 ft and 15 ft

∴ The area of the smaller rectangle = 5 × 15 = 75 feet²

Let us find the ratio of the area of the smaller rectangle to the area

of the larger rectangle

→ smaller rectangle : larger rectangle

→ 27 : 75

Divide the both terms of the ratio by 3

→ 9 : 25

The two terms of the ratio do not divisible by any other number

∴ The simplest form of the ratio is 9 : 25

∴ The ratio of the area of the smaller rectangle to the area of the larger

rectangle = $\frac{9}{25}$

The ratio of the area of the smaller rectangle to the area of the larger

rectangle is $\frac{9}{25}$

Learn more:

You can learn more about the ratio in brainly.com/question/10781917

#LearnwithBrainly

7 0

3 years ago

Pls help being timed

dybincka [34]

14-6+5
13
13 is the required answer

3 0

3 years ago

Read 2 more answers

Savanna makes annual contributions in the amount $1500 on average to a traditional IRA. She wants to retire and 37 years. She is

givi [52]

1,500×(((1+0.065)^(37)−1)
÷(0.065))=214,122.37

214,122.37−(214,122.37×0.10)
=192,710.13...answer

8 0

3 years ago

A realtor is someone who helps people buy or sell houses. Two realtors are trying to determine the value of a house in four year

alex41 [277]

probably b and some c 1000

5 0

4 years ago