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kupik [55]
3 years ago
13

V2=u2+2as v 2 = u 2 + 2 a s Where v v is the final velocity (in m/s), u u is the initial velocity (in m/s), a a is the accelerat

ion (in m/s²) and s s is the distance (in meters). Find v v when u u is 9 m/s, a a is 7 m/s², and s s is 28 meters.
Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

<em>Final velocity, v = 21.75 m/s</em>

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

v^2=u^2+2as

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/s^2

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

v^2=u^2+2as

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s

So, the answer is:

<em>final velocity, v = 21.75 m/s</em>

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7 0
3 years ago
Given that (8,7) is on the graph of f(x), find the corresponding point for the function f(x)+4
ozzi

Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

7 0
3 years ago
Read 2 more answers
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
Name the intersection of AB and CD
Vlad1618 [11]

Answer:

two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Algebra -> Angles -> SOLUTION: two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Log On

Step-by-step explanation:

7 0
3 years ago
Complete the equivalent ratio. How many ounces are in 2 cups?
larisa [96]
1 Cup = 8 Ounces
2 Cups = (8 Ounces) x 2
2 Cups = 16 Ounces

I hope that this helps! :)
4 0
1 year ago
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