QuestionAugust 25, 2025

3. A bike accelerates uniformly from rest to a speed of 7.10m/s over a distance of 35.4 m. Determine the acceleration of the bike.

3. A bike accelerates uniformly from rest to a speed of 7.10m/s over a distance of 35.4 m. Determine the acceleration of the bike.
3. A bike accelerates uniformly from rest to a speed of 7.10m/s over a distance of 35.4 m. Determine the
acceleration of the bike.

Solution
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Answer

a = 0.712 \, \text{m/s}^2 Explanation 1. Use the kinematic equation Use v^2 = u^2 + 2as where v = 7.10 \, \text{m/s}, u = 0 \, \text{m/s}, and s = 35.4 \, \text{m}. 2. Solve for acceleration Rearrange to find a: a = \frac{v^2 - u^2}{2s} = \frac{(7.10)^2 - 0}{2 \times 35.4}.

Explanation

1. Use the kinematic equation<br /> Use $v^2 = u^2 + 2as$ where $v = 7.10 \, \text{m/s}$, $u = 0 \, \text{m/s}$, and $s = 35.4 \, \text{m}$.<br />2. Solve for acceleration<br /> Rearrange to find $a$: $a = \frac{v^2 - u^2}{2s} = \frac{(7.10)^2 - 0}{2 \times 35.4}$.
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