STOP WHAT UR DOING!!! TAKE A MOMENT TO THINK ABOUT THESE!!
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Mathematically we know that the position is the integral of the velocity as a function of time, that is, the general formula for determining the position as a function of velocity would be given by
Here
represents the initial position, and the integral, the position with respect to the speed of the object within a certain time
Replacing and considering that there is no starting position,
Answer:
Explanation:
Discount the time here; it's not important. It doesn't tell you how long it takes the car to stop, it only refers to reaction time, which means nothing in the scheme of things.
The useful info is as follows:
initial velocity = 20 m/s
final velocity = 0 m/s
a = -10 m/s/s
and we are looking for the displacement. Use the following equation:
Δx
where v is the final velocity, v₀ is the initial velocity, a is the deceleration (since it's negative), and Δx is displacement. Filling in:
Δx and
0 = 400 - 20Δx and
-400 = -20Δx so
Δ = 20 meters