高一物理题:把这六个公式推导一遍,要详细步骤!急求大神解答!!
V=at
V1=a*t, V2=a*2t, V3=a*3t, ......, Vn=a*nt
显然 1:2:3: ... :n
2.S=1/2(a*t^2)
S=1/2(a*t^2), S=1/2(a*(2t)^2), S=1/2(a*(3t)^2), ..., S=1/2(a*(nt)^2)
显然 1: 2^2: 3^2: ...: n^2
3.S=1/2(a*t^2)-1/2(a*(t-1)^2)
Tt=t^2-(t-1)^2=2t-1
Tt是等差数列 1,3,5,7,9.....
T1:T2:T3.....=1:3:5.....
所以 S1:S2:S3...=1:3:5....
5.看2 ,当Tn比为1:2:3........Sn比为1:2^2:3^2......
都开平方
Tn比为√1:√2:√3...Sn比为1:2:3....
4.V=at
看5 ,Tn比为√1:√2:√3...Sn比为1:2:3....
V=at,a不变,则Vn比为√1:√2:√3...
6.S=1/2(a*t^2)-1/2(a*(t-1)^2)
要S1:S2:S3........=1:1:1......
则(t1^2-0):(t2^2-t1^2):(t3^2-t2^2).....=1:1:1....
则t1:t2:t3.....=1:√2-1:√3-√2.......