A cyclist enters a curve of 30m radius at a speed of 12m/s.As the brakes are applied. Speed is decreased at a constant rate of 0.5m/s
and the question is?
To find out how long it takes for the cyclist to come to a stop, we need to determine the deceleration rate first.
The deceleration rate can be calculated using the following formula:
deceleration = change in velocity / time
Given that the change in velocity is -0.5 m/s (negative because it's a deceleration), and the initial velocity is 12 m/s, we can plug these values into the formula:
-0.5 m/s = (12 m/s - final velocity) / time
Since we want to find the time it takes to stop, the final velocity will be 0 m/s.
-0.5 m/s = (12 m/s - 0 m/s) / time
Next, we can solve for time:
-0.5 m/s * time = 12 m/s
time = 12 m/s / -0.5 m/s
time = -24 seconds
The negative sign indicates that the cyclist never comes to a stop with the given parameters. Therefore, the cyclist does not stop within the curve.