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When an object starts to move in a straight line with uniform acceleration from a standstill, and t is the time interval, the displacement in the third t time is 3 m, and the instantaneous velocity at the end of the third t is 3 M / s 【1】 What is the acceleration of the object 【2】 What is the instantaneous velocity at the end of the first t time 【2】 What is the time interval 【4】 What is the displacement of the object in the first t time
The known initial velocity is 0, S3 = 3M, V3 = 3m / s
【1】 Let the acceleration of the object be a
Then S3 = s3-s2
That is, s 3 = [a * (3T) ^ 2 / 2] - [a * (2t) ^ 2 / 2] = 5 a T ^ 2 / 2
From V3 = a * (3T), V3 = 3 * a t is obtained
So 3 meters = 5 a T ^ 2 / 2
3 M / S = 3 * a t
Three meters / (3 meters / second) = (5 a T ^ 2 / 2) / (3 * a T)
That is, 1 second = 5t / 6
T = 1.2 seconds
Therefore, the acceleration is a = V3 / (3T) = 3 / (3 * 1.2) = (5 / 6) m / S ^ 2
【2】 The instantaneous velocity at the end of the first time t is V1 = a * t = (5 / 6) * 1.2 = 1 m / s
【3】 The time interval is t = 1.2 seconds
【4】 The displacement of the object in the first t time is S1 = a * T ^ 2 / 2 = (5 / 6) * 1.2 ^ 2 / 2 = 0.6m
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