The material point passes the first meter of the path of uniformly accelerated motion

The material point passes the first meter of the path of uniformly accelerated motion in time t = 2 s. How long does it take T to cover the path S = 36m

To find out the travel time of a specified material point of a given path, we use the formula: tx = √ (2S2 / a) = √ (2S2 / 2S1 / t1 ^ 2) = √ (t1 ^ 2 * S2 / S1), where t1 is the first acceleration time (t1 = 2 s); S2 – considered path (S2 = 36 m); S1 – path for the first acceleration time (S1 = 1 m).

Let’s perform the calculation: tx = √ (t12 * S2 / S1) = √ (2 ^ 2 * 36/1) = 12 s.

Answer: The path of 36 m should be covered by the indicated material point in 12 s.