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Veseljchak [2.6K]
2 years ago
15

1. Calculate the acceleration of riding her bicycle in a straight line that speeds up from 4 m/s to 12 m/s in 10 seconds. SOLUTI

ON​
Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0
<h3>✒️ACCELERATION</h3>

=================================

\large\sf\underline{Problem:}

Calculate the acceleration of riding her bicycle in a straight line that speeds up from 4 m/s to 12 m/s in 10 seconds.

=================================

\large\sf\underline{Answer:}

\qquad \qquad \huge \rm = 0.8 \: m/s²

=================================

\large\sf\underline{Solution:}

Here we have a given of,

  • \tt{(12\:m/s) \:= \:V_f = (final\: velocity) }
  • \tt{(4\:m/s)\:=\:V_i = (initial \: velocity) }
  • \tt{(10\:sec) \:=\:T = (elapsed time) }

\bold{Formula\:||\: Acceleration = \frac{v\: - \:v_0}{t} = \frac{ΔV}{ΔT} }

Because acceleration has a direction <u>(</u><u>riding her bicycle in a straight line</u><u>)</u>, it is important to always subtract the final velocity represented as \bold{V_f} from your initial velocity also represented as \bold{V_i}.

Now 'Work it out' and solve for Acceleration of riding her bicycle using the given formula.

  • \large\rm{A = \frac{V_f \:- \:V_i}{T} }
  • \large\rm{A = \frac{(12\:m/s\:-\:4\:m/s) }{10\:sec}}
  • \large\rm{A = \frac{ 8\:m/s}{10\:sec} }
  • \large\rm{A = 0.8\:m/s²}

Hence, The total acceleration of the girl riding her bicycle is 0.8 meters per second squared (m/s²).

=================================

૮₍´˶• . • ⑅ ₎ა

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1. Jackson has 75¢ in dimes, d, and nickels, n, in his pocket. Which equation could be solved to find the possible combinations
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Part 1)

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Step 1:

Equation of a Straight Line

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Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

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In this formula :

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Graph of a Straight Line :

( see attatchment)

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    Slope     = 2

Geometric figure: Straight Line

1.  Slope = 2

2.  x-intercept = 4/2 = 2

3.  y-intercept = 4/-1 = -4.00000

- clarification for graph - green means rise  red means run , bottom black is x intercept which is 2.000  under rise is y-intercept  and under the y axis is 0.000 and -4.000.

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