2. A motorcycle rider moving with initial velocity of 15.0 m/s uniformly accelerates to a speed of 30.0 m/s in a.
1 answer:
Given :
Initial velocity , u = 15 m/s .
Final velocity , v = 30 m/s .
Distance travelled , d = 40 m .
Also , this body is uniformly accelerating .
To Find :
(a) What is the acceleration .
(b) How long does this take .
Solution :
Let , acceleration be a .
By , equation of motion :
Also , by equation :
Hence , this is the required solution .
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The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
#SPJ1
