f(t)=kv(t)=-ma(t)=-mv '(t)
v '(t) / v(t) =-k/m
v(t)=c * exp(-kt/m)
v(0)=c=1000
v(t)=1000 exp(-kt/m)
s ‘(t)=v(t)
s(t)=(m/k)*1000*(1-exp(-kt/m))
题一:
v(t)=400
t0=(m/k)*ln(2.5)
s(t0)=600m/k
题二:
v(5)=1000exp(-5k/m)=1000(1-5k/m)=0
k/m=1/5
exp(-5k/m)=0
s(5)=5*1000*1=5000
也许这样吧,不晓得对不对