Within 5 seconds, the car accelerates from a speed of 30 km / h to a speed of 80 km / h

Within 5 seconds, the car accelerates from a speed of 30 km / h to a speed of 80 km / h with constant acceleration what distance the car has traveled during this time

V1 = 30 km / h = 8.3 m / s.
V2 = 80 km / h = 22.2 m / s.

S -?

We express the path of the car by the formula: S = V0 * t + a * t2 / 2.

a = (V2 – V1) / t.

a = (22.2 m / s – 8.3 m / s) / 5 s = 2.78 m / s2.

S = 8.3 m / s * 5 s + 2.78 m / s2 * (5 s) 2/2 = 76.25 m.

Answer: the car has covered the distance S = 76.25 m.



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