Heavy++Traffic+Collisions

=Heavy Traffic Collisions=

__Scenario__ A car is traveling at 30 m/s(t=0) for 5 seconds but notices a truck is stopped 70 meters away. The car begins to slow at a rate of 9.5 m/s every second. How long does it take for the car to stop? Will the car hit the truck?

__Conversions__
How to find the cars' breaking acceleration: It takes 169 ft. to go from 70mph to 0mph

__Data__ The car starts out traveling at a constant velocity of 30 m/s. Then when the driver sees that there is a truck stopped ahead of him after five seconds he then applies his breaks which have a steady negative acceleration of 9.5 m/s each second. By subtracting 9.5 m/s/s from the initial speed of 30 m/s I was able to find out when the driver would have come to a complete stop.

Time = Velocity / Acceleration 30/9.5 = 3.15 seconds
 * The car will come to a complete stop in 3.15 seconds.**



After finding at what time the driver will come to a aomplee stop i was then able to plot the points on a chart to create a velocity vs. time graph. But to find out weather or not the car will or will not crash into the truck that is stopped infront of him i need to find the displacement of the car. The equation to find the displacement is as followed: Delta X = ½ at² + V0t → ½ (-9.5)(3.15)² + 30(3.15) → Delta X = 47.3 meters. This equation helps you to figure out how far the car is traveling by knowing the initial velocity, the acceleration, and how long it took the car to come to a complete stop.
 * The car will not hit the truck that is stopped in front of him.**