Enter the ordered pair for point A in the boxes.

A cyclist travels at distance of 400 meters in 120 seconds towards school, calculate his speed. (Show your work)

DochEvi [55]

we know that

The scalar magnitude of the velocity vector is the speed. The speed is equal to

$Speed=\frac{distance}{time}$

in this problem we have

$distance=400\ m \\time=120\ sec$

substitute in the formula

$Speed=\frac{400}{120}$

$Speed=3.5\frac{m}{sec}$

therefore

the answer Part a) is

the speed is equal to $3.5\frac{m}{sec}$

Part b) Find the velocity

we know that

Velocity is a vector quantity; both magnitude and direction are needed to define it

in this problem we have

the magnitude is equal to the speed

$magnitude=3.5\frac{m}{sec}$

$direction=North\ East\ (NE)$

therefore

the answer Part b) is

the velocity is $3.5\frac{m}{sec}\ North\ East\ (NE)$

Part c)

we know that

the acceleration is equal to the formula

$a=\frac{V2-V1}{t2-t1}$

in this problem we have

$V2=0 \\V1=3.5\frac{m}{sec}$

$t2=15\ sec\\t1=0$

substitute in the formula

$a=\frac{0-3.5}{15-0}$

$a=-\frac{3.5}{15}\frac{m}{sec^{2}}$

$a=-\frac{7}{30}\frac{m}{sec^{2}}$

therefore

the answer Part c) is

the acceleration is $-\frac{7}{30}\frac{m}{sec^{2}}$

This is an example of negative acceleration

7 0

3 years ago

Read 2 more answers

Please help cause I don’t know how to do this

zalisa [80]

Answer:

4 GB

Step-by-step explanation:

Let "g" represent the number of gigabytes of data used. Then the phone bill is computed as ...

bill = 65 + 12g

Aurora's bill is 113, so we can put that value into the equation and solve for g.

113 = 65 + 12g

48 = 12g . . . . . . subtract 65 from both sides of the equation

4 = g . . . . . . . . . divide both sides of the equation by 12

Aurora used 4 gigabytes of data in September.

_____

You can also use your mathematical reasoning to solve this problem. The total bill consists of two charges: a fixed charge of 65 and a charge that depends on data. If you subtract the fixed charge from the bill, you find that the charge that depends on data is 113-65 = 48.

The data charge is 12 times the number of gigabytes. The data charge on the bill is 48, which is 12 times 4. Then the number of gigabytes is 4.

7 0

2 years ago

4x^2-2x ———— X^2+2x+1

Len [333]

Answer:

x = 0 or x = 1/2 and x = -1 for the second equation

Step-by-step explanation:

Solve for x:

4 x^2 - 2 x = 0

Factor x and constant terms from the left hand side:

2 x (2 x - 1) = 0

Divide both sides by 2:

x (2 x - 1) = 0

Split into two equations:

x = 0 or 2 x - 1 = 0

Add 1 to both sides:

x = 0 or 2 x = 1

Divide both sides by 2:

Answer: x = 0 or x = 1/2

_______________________________

Solve for x:

x^2 + 2 x + 1 = 0

Write the left hand side as a square:

(x + 1)^2 = 0

Take the square root of both sides:

x + 1 = 0

Subtract 1 from both sides:

Answer: x = -1

4 0

3 years ago

ILL BRAINLIEST YOU PLEASE HELP ME

Snezhnost [94]

Answer:

c = √(a² + b²) c=x

Step-by-step explanation:

4 0

3 years ago

The scale on a map is 1: 500000 Two towns are 7cm apart on the map Work out the actual distance between the towns. Give your ans

lions [1.4K]

Answer:

3,500,000

Step-by-step explanation:

(1×7)×500000 or 7×500000

5 0

3 years ago