How Do You Calculate Stopping Distance Using a Velocity-Time Graph?

AI Thread Summary
To calculate the stopping distance using a velocity-time graph, plot speed against time, where the initial speed is 15 m/s. The graph will show a horizontal line for the constant speed phase followed by a downward sloping line representing the deceleration of -6 m/s² after 0.7 seconds. The area under the graph represents the stopping distance, which can be calculated by finding the area of the trapezoid formed by the two segments. The stopping distance is the total displacement during the deceleration phase. Understanding these concepts will help in accurately determining the stopping distance.
getfirefox
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Hello everybody, I have a small question I need help with.

Homework Statement



Draw a sketch graph of the following:

"A car which is traveling at 15 ms-1. At t (time) = 0, the driver sees a pedestrian step out into the road. The driver takes 0.7 seconds to apply the brakes, and the brakes produce an acceleration of -6ms-2, bringing the car to a rest."

Use the stetch graph to calculate the stopping distance.

Homework Equations



None.

The Attempt at a Solution



None. Can somebody give me an example of what the graph would look like and how I would calculate the stopping distance. I take it this would be the displacement, or area under the line on the graph.

Thanks everyone.
 
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getfirefox said:
Draw a sketch graph of the following:

"A car which is traveling at 15 ms-1. At t (time) = 0, the driver sees a pedestrian step out into the road. The driver takes 0.7 seconds to apply the brakes, and the brakes produce an acceleration of -6ms-2, bringing the car to a rest."

Use the stetch graph to calculate the stopping distance.

Can somebody give me an example of what the graph would look like and how I would calculate the stopping distance. I take it this would be the displacement, or area under the line on the graph.

Hello getfirefox! :smile:

You should plot speed against time.

Constant speed is a horizontal line.

Constant deceleration is a straight line sloping down.

And yes, the stopping distance will be the area under the line. :smile:
 
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