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51问答网 > 物理上的△x=aT2是怎么推导出来的

物理上的△x=aT2是怎么推导出来的

△x一定得是相同时间的相邻的位移的差吗？

2025-03-15 01:21:43

推荐回答（1个）

回答1：

设两段相邻时间间隔的
位移
分别是s1,s2，
加速度
是a，
时间间隔是T，第一段开始的
初速度
是v0，末速度（第二段的初速度）是v1，则有
v1
=
v0
+
aT
s1
=
v0*T
+
1/2
aT^2
s2
=
v1*T
+
1/2
aT^2
故
Δs
=
s2
-
s1
=
T(v1
-
v0)
=
T(v0
+
aT
-
v0)
=
aT^2

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