Answer:
51 mph
Explanation:
Given: A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours.
Formula: 
Let speed of aircraft be x mph and speed of wind y mph
Aircraft along wind:
Actual speed of aircraft = x + y
Time taken = 3 hours
Distance = 612 miles


Aircraft against wind:
Actual speed of aircraft = x - y
Time taken = 6 hours
Distance = 612 miles


By solving equation (1) and equation (2) and we get
x = 153 mph
y = 51 mph
Hence, The speed of wind will be 51 mph
Answer:
525 V
Explanation:
A = Area = 
= Rate of change of magnetic field =
(assumed)
Induced electromotive force is given by

The induced electromotive force is 525 V
Answer:
1.35 m
Explanation:
Taking down to be positive, given:
Δx = Δy / tan 30.0º
v₀ₓ = 4.50 m/s
v₀ᵧ = 0 m/s
aₓ = 0 m/s²
aᵧ = 10 m/s²
Find: Δy
First, find the time it takes to land in terms of Δy.
Δy = v₀ t + ½ at²
Δy = (0 m/s) t + ½ (10 m/s) t²
Δy = 5t²
Next, find Δx in terms of t.
Δx = v₀ t + ½ at²
Δx = (4.50 m/s) t + ½ (0 m/s) t²
Δx = 4.50t
Substitute:
Δy = 5 (Δx / 4.50)²
20.25 Δy = 5 (Δx)²
4.05 Δy = (Δx)²
4.05 Δy = (Δy / tan 30.0º)²
4.05 Δy = 3 (Δy)²
1.35 = Δy
The basketball was thrown from an initial height of 1.35 m.
Graph: desmos.com/calculator/ujuzdo9xpr