If in the first second of uniformly accelerated motion the speed has changed by 5 m / s

If in the first second of uniformly accelerated motion the speed has changed by 5 m / s, then how much will the speed change in 10 seconds?

Initial data: V (1) (speed change in the first second of movement) = 5 m / s.
1) Determine the acceleration with which the speed increased: V (1) = a * t1 and a = V (1) / t1 = 5/1 = 5 m / s2.
2) Determine the change in speed in the tenth second (the difference in speeds for 10 and 9 seconds of movement): V (10) = V10 – V9 = a * t10 – a * t9 = 5 * 10 – 5 * 9 = 50 – 45 = 5 m /с.
Answer: In the tenth second, the speed will also change by 5 m / s.



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