Efficiently Calculate Stopping Time for a Cyclist | Displacement Homework

In summary, the cyclist initially travels at a speed of 11.0 m/s and applies the brakes, slowing down to 3.0 m/s in 2.5 seconds. To stop completely, the cyclist must continue braking for an additional 0.9375 seconds, according to the equation V2 = V1 + (a)(t).
  • #1
chuckset
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0

Homework Statement


A cyclist is traveling with a speed of 11.0 m/s when she applies the brakes. After slowing for 2.5s, her speed has been reduced to 3.0 m/s. If she continues braking, how much longer will it take her to stop?

I found the deceleration to be -3.2 m/s^2
V1 = 3.0 m/s
V2 = 0

2. The attempt at a solution

I used the equation V2 = V1 + (a)(t) and got the change in time to be 0.9375s

Does this seem like the correct way to solve this?
 
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  • #2
Well you found her deceleration correctly, so now what you want to get is the time it takes the cyclist to go from 11 m/s to 0 m/s.
 

1. What is displacement?

Displacement is a physical quantity that measures the change in position of an object from its initial position to its final position.

2. How is displacement calculated?

Displacement can be calculated by subtracting the final position from the initial position of an object. It is a vector quantity and is typically represented by the symbol "Δx".

3. What is the difference between displacement and distance?

Distance is the total path traveled by an object, while displacement is the change in position of the object. Distance is a scalar quantity, while displacement is a vector quantity.

4. Can displacement be negative?

Yes, displacement can be negative. It depends on the direction of the movement. A negative displacement means the object has moved in the opposite direction from its initial position.

5. How is displacement related to velocity?

Displacement and velocity are closely related as velocity is the rate of change of displacement over time. In other words, velocity is the displacement divided by the time taken to cover that displacement.

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