At $t = 0$:

Car A is at $x = -40\,\text{m}$ and moving right at $20\,\text{m/s}$.
Car B is at $x = +40\,\text{m}$ and moving left at $12\,\text{m/s}$.

Both drivers apply their brakes at the same instant. Each car experiences a different unknown constant acceleration. The cars come to rest at exactly the same position and exactly the same time. Find:

Question

At $t = 0$:

Car A is at $x = -40\,\text{m}$ and moving right at $20\,\text{m/s}$.
Car B is at $x = +40\,\text{m}$ and moving left at $12\,\text{m/s}$.

Both drivers apply their brakes at the same instant. Each car experiences a different unknown constant acceleration. The cars come to rest at exactly the same position and exactly the same time. Find:(a) The stopping time
, (b) The position where both cars stop
, (c) The acceleration of each car
:

Jason · Accepted Answer

$2.5\ \text{s}$
$10\ \text{m}$
$a_A=-8\ \text{m/s}^2,\ a_B=4.8\ \text{m/s}^2$

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