Answer:
The water should be released a distance of 1289.88 feet before the plane is on top of the bush fire.
Explanation:
Let's first find the time required for the water to fall down 390 ft onto the bush fire.
Initial Vertical Speed of water = 0
Distance to be covered = 390 ft
Acceleration due to gravity = 32.2 ft/s^2


t = 4.92 seconds
Thus the water should be dropped 4.92 seconds before the plane is over the bush fire. Now we can also find the distance d at which the pilot should release the water:
d = Speed of plane * time
Speed of plane = 180 / (60 * 60) = 0.05 mile/second
d = 0.05 * 4.92 = <u>0.246 miles</u> OR <u>1289.88 feet</u>
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Thus, the water should be released a distance of 1289.88 feet before the plane is on top of the bush fire.
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Mechanical Advantage = Force by Hammer / Force by Nail = 160/40 = 4
Answer:

Explanation:
Given:
- Distance from the shore,

- distance of house from the shore,

- speed of rowing,

- speed of walking,

<em>For the least amount of time to reach the house one must row at the nearest point on the shore and then walk from there.</em>
<u>Now the time taken to reach the shore:</u>


<u>Time taken in walking to house from the shore:</u>




<u>Therefore total time taken:</u>


Power (physics) In physics, power is the rate of doing work, the amount of energy transferred per unit time. In the International System of Units, the unit of power is the joule per second (J/s), known as the watt in honour of James Watt, the eighteenth-century developer of the steam engine condenser.
Answer:
(a) Angular acceleration is 1.112 rad/s².
(b) Average angular velocity is 2.78 rad/s .
Explanation:
The equation of motion in Rotational kinematics is:
θ = θ₀ + 0.5αt²
Here θ is angular displacement at time t, θ₀ is angular displacement at time t=0, t is time and α is constant angular acceleration.
(a) According to the problem, θ is 13.9 rad, θ₀ is zero as it is at rest and t is 5 s. Put these values in the above equation:
13.9 = 0 + 0.5α(5)²
α = 1.112 rad/s²
(b) The equation of average angular velocity is:
ω = Δθ/Δt
ω = 
ω = 2.78 rad/s