甲运动的路程为:s甲=
| S |
| 2 |
乙运动的路程为:s乙=
| S |
| 2 |
由于相遇时运动的时间相等,则:
| S甲 |
| v甲 |
| S乙 |
| v乙 |
即:
| ||
| 5m/s |
| ||
| 3m/s |
解得:
S=400m;
设设同向绕行时ts后相遇,
由题知,s甲=s乙+400m,
∵v=
| s |
| t |
∴5m/s×t=3m/s×t+400m,
解得:t=200s,
s乙=v乙t=3m/s×200s=600m,
相遇地点与起点A的距离为:s′乙-s=600m-400m=200m,即在C点相遇.
答:至少经200s后才能相遇,在C点相遇.

| S |
| 2 |
| S |
| 2 |
| S甲 |
| v甲 |
| S乙 |
| v乙 |
| ||
| 5m/s |
| ||
| 3m/s |
| s |
| t |