The initial velocity of the body is 10 m / s. How long will it take to double its speed with uniformly accelerated straight-line

The initial velocity of the body is 10 m / s. How long will it take to double its speed with uniformly accelerated straight-line motion in one direction on a path of 150 m?

Given:
V0 = 10 m / s (initial speed)
S = 150m (path)
To find:
t-? (time)
Decision.
V = 2 * V0 = 2 * 10 = 20 m / s
a = (V ^ 2-V0 ^ 2) / 2 * S = (400-100) / 300 = 1 m / s ^ 2
t = (V-V0) / a = (20-10) / 1 = 10 s
Answer: 10 s.



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