The car starts off and moves with uniform acceleration. In the first second, the car travels 3 m.

The car starts off and moves with uniform acceleration. In the first second, the car travels 3 m. What path will the car take in the first 2 seconds? in the first 5 seconds?

V0 = 0 m / s.

t1 = 1 s.

S1 = 3 m.

t2 = 2 s.

t3 = 5 s.

S2 -?

S3 -?

Since the car, according to the condition of the problem, starts its movement uniformly accelerated, its path is determined by the formula: S = V0 * t + a * t ^ 2/2, where V0 is the initial speed, t is the time of movement, a is the acceleration during movement.

Since the car starts to move V0 = 0, the formula will take the form: S = a * t ^ 2/2.

S1 = a * t1 ^ 2/2.

a = 2 * S1 / t1 ^ 2.

S2 = a * t2 ^ 2/2.

S2 = 2 * S1 * t2 ^ 2/2 * t1 ^ 2 = S1 * t2 ^ 2 / t1 ^ 2.

S2 = 3 m * (2 s) ^ 2 / (1 s) ^ 2 = 12 m.

S3 = a * t3 ^ 2/2.

S3 = 2 * S1 * t3 ^ 2/2 * t1 ^ 2 = S1 * t3 ^ 2 / t1 ^ 2.

S3 = 3 m * (5 s) ^ 2 / (1 s) ^ 2 = 75 m.

Answer: S2 = 12 m, S3 = 75 m.