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
Answer:
The initial velocity of the water from the tank is 5.42 m/s
Explanation:
By applying Bernoulli equation between point 1 and 2

At the point 1
P₁=0 ( Gauge pressure)
V₁= 0 m/s
Z₁=3 m
At point 2
P₂=0 ( Gauge pressure)
Z₂= 0 m/s

Now by putting the values




V₂= 5.42 m/s
The initial velocity of the water from the tank is 5.42 m/s
Answer:
|v| = 8.7 cm/s
Explanation:
given:
mass m = 4 kg
spring constant k = 1 N/cm = 100 N/m
at time t = 0:
amplitude A = 0.02m
unknown: velocity v at position y = 0.01 m

1. Finding Ф from the initial conditions:

2. Finding time t at position y = 1 cm:

3. Find velocity v at time t from equation 2:

Since I'm assuming that its perfectly elastic, considering there's not enough information given, so I think that no energy is dissipated in the collision
hmax = h - d + { [ mpvp - mb√(2gd) ] / (mp+mb) }² / (2g)