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

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 replies · 3K views
getfirefox
Messages
9
Reaction score
0
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.
 
on Phys.org
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: