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

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SUMMARY

The discussion focuses on calculating the stopping distance of a car using a velocity-time graph. The scenario involves a car traveling at 15 m/s that takes 0.7 seconds to apply brakes, resulting in a deceleration of -6 m/s² until it comes to a stop. Participants confirm that the graph should plot speed against time, with constant speed represented as a horizontal line and constant deceleration as a downward sloping line. The stopping distance is determined by calculating the area under the graph.

PREREQUISITES
  • Understanding of velocity-time graphs
  • Knowledge of basic kinematics, including acceleration and deceleration
  • Familiarity with calculating area under a curve
  • Ability to interpret graphical data
NEXT STEPS
  • Learn how to plot velocity-time graphs for different motion scenarios
  • Study the equations of motion for uniformly accelerated motion
  • Explore the concept of area under the curve in physics
  • Practice calculating stopping distances using various initial speeds and deceleration values
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators seeking to explain the relationship between velocity, time, and stopping distance in real-world scenarios.

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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