把路程分成两部分,看成两个初速为0的匀加速运动
设:s1,s2,a1,a2,v(max)
s1=1/2*a1*t1^2.(@)
s2=1/2*a2*t2^2
t1=v(max)/a1.(1)
t2=v(max)/a2.(2)
s1+s2=s.(3)
s1/s2=(a1/a2)*(t1/t2)^2
由(1),(2)得,
a1/a2=t2/t1所以,s1/s2=t1/t2
t1/t2=5/2.(4)
由(3),(4)得,
s1=2500m
s2=1000m
将s1,t1代入(@)得,
a1=5/90(m/s^2)
v(max)=a1*t1=50/3(m/s)