The body was moving uniformly and rectilinearly, t1 = 5sec passed the path 100m, in the first 10

The body was moving uniformly and rectilinearly, t1 = 5sec passed the path 100m, in the first 10 seconds t2 = 10sec passed 300 m. Determine the module of the initial speed of movement.

To find the modulus of the initial velocity of the body under consideration, we will use the equality (using the formula: S = V0 * t + a * t ^ 2/2): 2 * (S1 – V0 * t1) / t12 = a (constant acceleration) = 2 * (S2 – V0 * t2) / t2 ^ 2.

Values of variables: S1 – first track (S1 = 100 m); t1 – first time (t1 = 5 s); S2 – second track (S2 = 300 m); t2 – second time (t2 = 10 s).

Calculation: 2 * (S1 – V0 * t1) / t1 ^ 2 = 2 * (S2 – V0 * t2) / t2 ^ 2.

2 * (100 – V0 * 5) / 52 = 2 * (300 – V0 * 10) / 10 ^ 2.

200 * (100 – V0 * 5) = 50 * (300 – V0 * 10).

4 * (100 – V0 * 5) = 300 – V0 * 10.

400 – 20V0 = 300 – 10V0.

100 = 10V0.

V0 = 10 m / s.

Answer: The module of the initial speed of movement is 10 m / s.