A cyclist is riding a bicycle at a constant speed of 10 m/s when they suddenly apply the brakes, resulting in a deceleration of 2 m/s². Calculate the distance the cyclist travels before coming to a complete stop.
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To calculate the distance the cyclist travels before coming to a complete stop, we can use the equation:
v² = u² + 2as
Where:
v - final velocity (0 m/s, since the cyclist comes to a complete stop)
u - initial velocity (10 m/s)
a - acceleration/deceleration (-2 m/s², negative since it's deceleration)
s - distance
Rearranging the equation to solve for s:
s = (v² - u²) / (2a)
Plugging in the given values:
s = (0² - 10²) / (2(-2))
s = (0 - 100) / (-4)
s = 100 / 4
s = 25 meters
Therefore, the cyclist travels a distance of 25 meters before coming to a complete stop.
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