Question

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. SOLUTION​

Answer 1

✒️ACCELERATION

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$\large\sf\underline{Problem:}$

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.

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$\large\sf\underline{Answer:}$

$\qquad \qquad \huge \rm = 0.8 \: m/s²$

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$\large\sf\underline{Solution:}$

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 (riding her bicycle in a straight line), 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).

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