Answer:
Speed of the wind is 
Explanation:
Given that,
airliner cover distance s, in time t1 between the cities faces opposite A and B
Let the speed of the wind be v
and the speed of the plain be 
The speed of the plain is

Time taken from one side is
= half distance travelled / (vp +v)
Time taken during A and B is

Time taken during B to A

Total timetaken by plane at the presence of wind


rearrange the equation to get v

Speed of the wind is 
Answer:
0.0031792338 rad/s
Explanation:
= Angle of elevation
y = Height of balloon
Using trigonometry

Differentiating with respect to t we get

Now, with the base at 200 ft and height at 2500 ft
The hypotenuse is

Now y = 2500 ft


The angle is changing at 0.0031792338 rad/s
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Answer:
0.50m/s
Explanation:
Average velocity is the change in displacement of a body with respect to time.
Velocity = ∆S/∆t
∆S = 100m - 70m
∆S = 30m
∆t = 2min - 1 min
∆t = 1min = 60secs
Substitute the given parameters into the formula for velocity
Velocity = 30m/60s
Velocity = 1/2 m/s
Average Velocity = 0.5m/s
When plane is going towards Halifax the speed of wind is in the direction of fly
so overall the net speed of the plane will increase
while when he is on the way back the air is opposite to flight so net speed will decrease
now the total time of the journey is 13 hours
out of this 2 hours he spent in mathematics talk
so total time of the fly is 13 - 2 = 11 hours
now we have formula to find the time to travel to Halinex

time taken to reach back

now we have total time


here d= 3000 miles



solving above quadratic equation we will have

so speed of plane will be 550 mph