16 seconds after the start of movement, the vehicle speed becomes 8 m / s.

16 seconds after the start of movement, the vehicle speed becomes 8 m / s. After what time from the start of movement its speed will become 24 m / s.

Task data: t1 (first time of movement) = 16 s; V0 (initial speed) = 0 m / s; V1 (the speed of the vehicle under consideration through time t1) = 8 m / s; V2 (required speed) = 24 m / s; the motion will be considered uniformly accelerated.

The time taken by the vehicle under consideration to reach a speed of 24 m / s is determined using the equality: a = V1 / t1 = V2 / t2, whence t2 = V2 * t1 / V1.

Calculation: t2 = 24 * 16/8 = 48 s.

Answer: The vehicle in question will reach a speed of 24 m / s after 48 s.



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