Answer:
the answer is 5
Step-by-step explanation:
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer:
The second table.
Step-by-step explanation:
In the first table, the speed goes from 45 down to 43; then down to 41; then up to 42; then up to 43. It decreases and then increases. This is not the correct table.
In the second table, the speed goes from 45 up to 47; then up to 49; then down to 48; then down to 47. It increases and then decreases; this is the correct table.
To verify, we check the last two tables. The third table stays at 45, then decreases to 43 and 41. This is not correct.
The last table decreases from 45 to 43, then decreases to 41, then stays constant. This is not correct.
The second table is the only correct one.