Nikki and Laura are standing on opposite sides of a hive of killer bees. The bees can fly 7.5 m in sec

Question

still air, and the wind is blowing 4.5 m in the indicated direction. Notice that if the bees are flying sec
upwind (against the wind), then the wind speed will decrease their ground speed. Likewise, if the bees are flying downwind (with the wind), then the wind will increase their ground speed. Two bees leave the hive; one is heading for Nikki and the other toward Laura. Assume that both women start running away from the hive at the same instant.
(a) What is the ground speed of each bee? m
(b) Assume each person runs 3.1sec. Determine who escapes and who doesn't. If some- one can't escape, determine where and when the attack will occur.
(c) Determine the minimum speed each must run in order to avoid being stung. Is it realistic for Nikki to outrun the bees? How about Laura? (It may help to know that 1 mile = 1609.34 meters

Answer 1

so, what is the indicated direction?
Anyway, draw the velocity vectors and solve for the missing speed/direction.

Answer 2

nikki is 20m left from the hive, laura is 26m right from the hive and the wind is blowing to the right

Answer 3

how would i solve it now?

Answer 4

You don't say which girl is to the right or the left. You really left out a lot of vital information didn't you?

(a) the bee's ground speed is
7.5 + 4.5 = 12 m/s downwind
7.5 - 4.5 = 3.0 m/s upwind

I'll assume that Nikki is upwind and Laura is downwind. If that's not the case, then just reverse things as needed.

For the bees to catch Laura in less than 3.1 seconds, we need
12*3.1 >= 26 + 3.1L
Laura must run at least 3.61 m/s
For Nikki,
3*3.1 >= 20 + 3.1N
Nikki can stand still, since the bees only make it 9.3m in the time allotted.