The ball, rolling down from the rectilinear inclined groove with zero initial speed, in the first second

The ball, rolling down from the rectilinear inclined groove with zero initial speed, in the first second of movement (t = 1 s) covered the path S₁ = 10 cm. What path will the ball cover in the first three seconds (t₂ = 3 s) from the moment it starts moving?

1) Since the ball is rolling from a rectilinear inclined groove with zero initial speed, we can use the shortened path formula for uniformly accelerated motion: S = (a • t • t): 2, we substitute the known values ​​of time t = 1s and paths S = 10 cm = 0.1 m and find the acceleration a = 0.2 (m / (s • s)).
2) To determine which path the ball will cover in the first three seconds from the moment the movement starts, we will use the same abbreviated formula S = (a • t • t): 2, just substitute the time t = 3s into it and the found acceleration value a = 0 , 2 (m / (s • s)). We get S = (0.2 • 3 • 3): 2; S = 0.9 m. Answer: the ball will cover the path S = 0.9 m in the first three seconds from the moment it starts moving.