Answer:
Why do you keep sending the same question over and over again?
Step-by-step explanation:
Total Time Taken = 16secs
10a). We're asked to calculate the rate of speed change for the first 5secs.
This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.
Why?
Acceleration is the rate of change of speed or the rate at which speed changes.
acceleration = v - u/t
where v = Final Speed
u = initial Speed.
Looking at the graph
You see that
Initial speed(u) = 1m/s
Final Speed(v) = 9m/s
t = 5secs
Acceleration = 9 - 1/ 5
a = 8/5
a = 1.6m/s².✅
10b)
We're asked to calc "t" from the graph.
Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².
This simply means that Constant Acceleration was held from "t" to the end of the Motion.
Do not confuse Constant Acceleration for Constant Velocity.
At Constant Velocity... Acceleration is zero(0)
At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.
Taking the same step as we used in calculating acceleration above
Given a= 2m/s²
a = v - u/∆t
Where ∆t means time change or difference.
From "t" to 16
The change in time is 16 - "t"
2 = 21 - 9/( 16 - t)
2 = 12/16-t
16-t = 12/2
16 - t = 6
t = 16 - 6
t = 10secs.✅
Have a great Day!.
Answer:
Part a) The increase in dollars is ![\$429](https://tex.z-dn.net/?f=%5C%24429)
Part b) The amount in Lucy's account at the end of last year was ![\$7,029](https://tex.z-dn.net/?f=%5C%247%2C029)
Step-by-step explanation:
Let
x-----> amount in Lucy's account at the end of last year
we know that
![100\%+6.5\%=106.5\%](https://tex.z-dn.net/?f=100%5C%25%2B6.5%5C%25%3D106.5%5C%25)
![106.5\% =\frac{106.5}{100}=1.065](https://tex.z-dn.net/?f=106.5%5C%25%20%3D%5Cfrac%7B106.5%7D%7B100%7D%3D1.065)
so
-----> amount in Lucy's account at the end of last year
The increase is equal to
![\$7,029-\$6,600=\$429](https://tex.z-dn.net/?f=%5C%247%2C029-%5C%246%2C600%3D%5C%24429)
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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Albert Einstein's general theory of relativity<span> is one of the most elevated achievements of 20th-century physics. Published in 1916, it explains that what we perceive as the force of gravity in fact arises from the curvature of space and time. </span>Einstein <span>proposed that objects such as the sun and the Earth change this geometry. </span>