During emergency braking, a car moving at a speed of 20 m / s stopped after 5 seconds. Find the braking distance.
| July 22, 2021 | education
V0 = 20 m / s.
V = 0 m / s.
t = 5 s.
S -?
The displacement of the body S when moving with constant acceleration is determined by the formula: S = (V ^ 2 – V0 ^ 2) / 2 * a, where V, V0 are the final and initial velocity of the body, and is the acceleration of the body.
The acceleration of the body a is determined by the formula: a = (V – V0) / t.
S = (V ^ 2 – V0 ^ 2) * t / 2 * (V – V0).
Since the final speed V = 0, the car stopped, the formula for moving will take the form: S = V0 ^ 2 * t / 2 * V0 = V0 * t / 2.
S = 20 m / s * 5 s / 2 = 50 m.
Answer: the braking distance of the vehicle is S = 50 m.
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