Collisions

=Collisions= by Glenn Brailsford =Introduction:= In this section of our wiki we are discussing collisions. The Free Online Dictionary defines a collision as the act or process of colliding; a crash or conflict. Car collisions can occur in a variety of ways. They can occur by a drunk driver, a mechanical issue in the car, or in our case lack of paying attention.

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Ms. Djumpman (Driver A) is traveling the speed limit, which is (25 mph or 11.176m/s). The woman a block behind her, Ms. Echols (Driver B) is going over the speed limit. She is traveling at (30 mph or 15.64m/s). Both drivers are driving eastbound. How long will it take Driver A to meet driver B if they are 25 meters away from each other? If they are 20 meters away? If they are 15 meters away?======

Using the equation you are able to plug the numbers given in the equation into the appropriate parts of the equation. (Considering Driver A's starting point is when x=0.

The easiest way to find the collision point (point of intersection) is by setting both equations equal to each other as shown below:

If driver A and driver B were 25 meters apart it would take approximately 5.6 seconds for the cars to collide.

This can also be show graphically(Note: the functions are written in the y=mx+b form) The point of intersection is also the collision point of the two cars.

If driver A and driver B were 20 meters apart it would take approximately 4.48 seconds for the cars to collide.

If driver A and driver B were 15 meters apart it would take approximately 3.36 seconds for the cars to collide.







These Three motion maps represent three different time scenarios between driver A and driver B. The velocity isn't mentioned in the motion maps but the constant velocity of Driver A is 11.176m/s and Driver B is 15.64m/s.