The body moves uniformly and rectilinearly at a speed of 3 m / s for 20 s, then for 15 s it moves

The body moves uniformly and rectilinearly at a speed of 3 m / s for 20 s, then for 15 s it moves with an acceleration, the modulus of which is 0.2 m / s2 and stops. Find the path that the body has traveled during the entire movement.

V1 = 3 m / s.

t1 = 20 s.

t2 = 15 s.

a = 0.2 m / s ^ 2.

V2 = 0 m / s.

S -?

The path S traversed by the body will be the sum: S = S1 + S2, where S1 is the path traversed by the body with uniform movement, S2 is the path traversed by the body with equal slow motion.

With uniform movement, the path S1 passed by the body is determined by the formula: S1 = V1 * t1.

S1 = 3 m / s * 20 s = 60 m.

With equal slow motion, the path of the body S2 is expressed by the formula: S2 = V1 * t2 – a * t2 ^ 2/2.

S2 = 3 m / s * 15 s – 0.2 m / s ^ 2 * (15 s) ^ 2/2 = 22.5 m.

S = 60 m + 22.5 m = 82.5 m.

Answer: the body will come to the path S = 82.5 m.