Find the time of movement of the body, if its initial speed is 5 m / s, acceleration is 1 m / s

Find the time of movement of the body, if its initial speed is 5 m / s, acceleration is 1 m / s, and final speed is 15 m / s. What path will the body take during the movement?

To find the duration of the body’s movement and the path it traveled, we will use the formulas: t = (V2 – V1) / a and S = (V2 ^ 2 – V1 ^ 2) / 2a.

Variable values: V2 – final speed (V2 = 15 m / s); V1 – initial speed (V1 = 5 m / s); a – acceleration of the body (a = 1 m / s2).

Calculation: a) t = (V2 – V1) / a = (15 – 5) / 1 = 10 s;

b) S = (V2 ^ 2 – V1 ^ 2) / 2a = (15 ^ 2 – 5 ^ 2) / (2 * 1) = 100 m.

Check: S = (V2 + V1) * t / 2 = (15 + 5) * 10/2 = 100 m (correct).

Answer: The body had to travel a path of 100 m in 10 s.