A car moving at a speed of 60 km / h stops when braking for 6 seconds. Which way does the car travel?
| January 28, 2021 | education
V0 = 60 km / h = 16.7 m / s.
t = 6 s.
V = 0 m / s.
S -?
The distance traveled S is the length of the line that the car describes when driving.
If we assume that the braking of the car occurred with a constant acceleration, a, then its path will be expressed by the formula: S = V0 * t – a * t ^ 2/2.
The acceleration of a car, and this is a vector quantity that shows how its speed changes over time. Acceleration, and is determined by the formula: a = (V0 – V) / t.
Since V = 0 m / s, then a = V0 / t.
a = 16.7 m / s / 6 s = 2.78 m / s2.
S = 16.7 m / s * 6 s – 2.78 m / s2 * (6 s) ^ 2/2 = 50 m.
Answer: when braking, the car travels a path S = 50 m.
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