The body moves uniformly with no initial velocity. In the third second
The body moves uniformly with no initial velocity. In the third second, it covered the distance of 15m. Which way did the body go in three seconds?
V0 = 0 m / s.
S3 = 15 m.
t1 = 2 s.
t = 3 s.
S -?
V0 = 0 m / s.
S3 = 15 m.
t1 = 2 s.
t = 3 s.
S -?
The path S traversed by the body with uniformly accelerated movement is determined by the formula: S = V0 * t + a * t ^ 2/2, where V0 is the initial speed of movement, t is the time of movement, a is the acceleration of movement.
Since the initial speed is V0 = 0 m / s, the formula will take the form: S = a * t ^ 2/2.
Let’s write down the path S1 traversed by the body in time t1 = 2 s: S1 = a * t1 ^ 2/2.
S3 = S – S1.
S = S3 + S1.
a * (3 s) ^ 2/2 = 15 m + a * (2 s) ^ 2/2.
a * 4.5 s ^ 2 = 15 m + a * 2 s ^ 2.
a * 2.5 s ^ 2 = 15 m.
a = 6 m / s ^ 2.
S = 6 m / s ^ 2 * (3 s) ^ 2/2 = 27 m.
Answer: S = 27 m.
