Question

With an average acceleration of -0.5 m/s2, how long will it take a cyclist to bring a bicycle with an initial speed of 13.5 m/s to a complete stop?

Answer 1

The cyclist will take 27 seconds to bring the bicycle to a complete stop with an average acceleration of -0.5 m/s².

Step-by-step explanation:

To determine how long it will take for the cyclist to stop, we can use the equation:Vf = Vo + at

where Vf is the final velocity, Vo is the initial velocity, a is the acceleration, and t is the time.

In this case, the cyclist wants to bring the bicycle to a complete stop, so the final velocity will be 0 m/s. The initial velocity is 13.5 m/s, and the acceleration is -0.5 m/s² (negative because it is deceleration).

Plugging these values into the equation:

0 = 13.5 + (-0.5)t

Now we solve for t:

-13.5 = -0.5t

t = -13.5 / -0.5

t = 27 seconds

Therefore, it will take the cyclist 27 seconds to bring the bicycle to a complete stop.