A cyclist accelerates at a rate of 7.0 m/s2. how long will it take the cyclist to reach a speed of 18 m/s?

2 answers:

8 0

At constant acceleration the equation is

v = u + at where u = initial speed, a = acceleration. t = time and v = final speed

So here we have 18 = 0 + 7t

t = 18/7 = 2.6 seconds ( to nearest tenth)

Delvig [45]4 years ago

5 0

Answer:

2.57 seconds

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Before we can solve this question we need to create a formula that calculates the final speed. The formula will be the following,

$Vf = Vi+7(t)$

Where:

Vf is the final Velocity
Vi is the initial velocity
A is the acceleration
t is the time in seconds

Now that we have the formula we can plug in the values given to us in the question and solve for the amount of time (t).

$Vf = Vi+7(t)$

$18 = 0+7(t)$

$2.57 = t$

Finally, we can see that it would take the cyclist 2.57 seconds (approximately) to reach a speed of 18 m/s

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )