Answer:
Average angular velocity ≈ 4.59 rad/s
Explanation:
Using the equation of motion,
H = ut + (1/2)t² ............................ equation 1.
Where H= height, u = initial velocity(m/s), g = acceleration due to gravity(m/s²), t = time(s) u= 0 ∴ ut =0
H =(1/2)gt².................................... equation 2.
making t² the subject of the relation in equation 2,
∴ t² = 2H/g
Where H = 9.2 m, g= 9.8 m/s
∴ t² = ( 2×9.2)/9.8
t = √(2 × 9.2/9.8) = √(18.4/9.8)
t = 1.37 s.
The average angular velocity = θ/t
Where θ = is the number of revolution that the diver makes, t = time
θ = 1 rev.
Since 1 rev = 2π (rad)
t = 1.37 s
Average angular velocity = 2π/t
π = 3.143
Average angular velocity = (2×3.143)/1.37 = 6.286/1.37
Average angular velocity ≈ 4.59 rad/s
Answer:
The Ionospheric Effect
Explanation:
One of the largest errors in GPS positioning is attributable to the atmosphere. The long, relatively unhindered travel of the GPS signal through the virtual vacuum of space changes as it passes through the earth’s atmosphere. Through both refraction and diffraction, the atmosphere alters the apparent speed and, to a lesser extent, the direction of the signal. This causes an apparent delay in the signal's transit from the satellite to the receiver.
Answer:
Between 2.0 s and 4.0 s (B and C)
Between 5.0 s and 8.0 s (D and E)
Between 10.0 s and 11.0 s (F and G)
Explanation:
The graph shown in the figure is a velocity-time graph, which means that:
- On the x-axis, the time is plotted
- On the y-axis, the velocity is plotted
Therefore, this means that the object is not moving when the line is horizontal (because at that moment, the velocity is constant, so the object is not moving). This occurs in the following intervals:
Between 2.0 s and 4.0 s (B and C)
Between 5.0 s and 8.0 s (D and E)
Between 10.0 s and 11.0 s (F and G)
From the graph, it would be possible to infer additional information. In particular:
- The area under the graph represents the total distance covered by the object
- The slope of the graph represents the acceleration of the object
Time = (distance) / (speed)
Time = (180 miles) / (60 mi/hr)
Time = (180/60) (mi-hr/mi)
<em>Time = 3 hours</em>