What is the average velocity of the particle from rest to 15 seconds? A. 1.1 meters/second B. 1.2 meters/second C. 1.3 meters/se
cond D. 1.4 meters/second
1 answer:
Answer: D. 1.4 meters/second
Explanation:
To calculate average Velocity, the proportion of the total Displacement or distance traveled to the total time taken during that Displacement is calculated.
Total Displacement from rest(that is 0) to 15 seconds (21, on the graph)
(0, 21)
Total time taken = 15 seconds
Average Velocity = (total Displacement / total time taken)
Average Velocity = (21 - 0) / (15 - 0)
Average Velocity = 21 / 15
Average Velocity = 1.4 meters per second
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Answer:
The resultant velocity of the helicopter is .
Explanation:
Physically speaking, the resulting velocity of the helicopter (), measured in meters per second, is equal to the absolute velocity of the wind (
), measured in meters per second, plus the velocity of the helicopter relative to wind (
), also call velocity at still air, measured in meters per second. That is:
(1)
In addition, vectors in rectangular form are defined by the following expression:
(2)
Where:
- Magnitude, measured in meters per second.
- Direction angle, measured in sexagesimal degrees.
Then, (1) is expanded by applying (2):
(3)
If we know that ,
,
and
, then the resulting velocity of the helicopter is:
The resultant velocity of the helicopter is .