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Naily [24]
3 years ago
7

West of a city, a certain eastbound route is straight and makes a steep descent toward the city. The highway has a 14% grade, wh

ich means that its slope is − 14 100 . Driving on this road, you notice from elevation signs that you have descended a distance of 1000 ft. What is the change in your horizontal distance in miles
Physics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

1.35 miles

Explanation:

Since the slope is 14% grade = -14/100. This is a negative slope.

The distance of 1000 ft descended is a vertical descent, so assuming our initial position is 0, and Δx is the change in horizontal distance.

tanθ = -14/100 = (0 - 1000)/Δx = - 1000)/Δx

-14/100 = - 1000)/Δx

Δx = -1000 × -100/14= 7142.86 ft

5280 ft = 1 mile

7142.86 ft = 7142.86/5280 miles = 1.353 miles ≅ 1.35 miles

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LuckyWell [14K]

Answer: Often lightning occurs between clouds or inside a cloud. But the lightning we usually care about most is the lightning that goes from clouds to ground.

Explanation:  As the storm moves over the ground, the strong negative charge in the cloud attracts positive charges in the ground.

3 0
2 years ago
Assume that the Deschutes River has straight and parallel banks and that the current is 0.75 m/s. Drifting down the river, you f
DedPeter [7]

Answer:

    d = 142.5 m

Explanation:

This is a vector exercise. Let's calculate how much the boat travels in the 40s

     d₀ = v_{b} t

    d₀ = 0.75 40

    d₀ = 30 m

Let's write the kinematic equations

Boat

     x = d₀  +  v_{b} t

     x = 0 +  v_{h} t

At the meeting point the coordinate is the same for both

    d₀  +  v_{b} t =  v_{h} t

    t ( v_{h} -  v_{b}) = d₀  

    t = d₀  / ( v_{b}-  v_{h})

The two go in the same direction therefore the speeds have the same sign

     t = 30 / (0.95-0.775)

     t = 150 s

The distance traveled by man is

     d =  v_{h} t

     d = 0.95 150

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3 0
3 years ago
The resistance (R) of a copper wire varies directly as its length (L). Write this relation as a formula using k as the constant
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Answer:

Explanation:

According to ohm's law current flowing in a conductor is directly proportional to the voltage applied across two end of conductor.

i.e. V\propto R

V=R I

where R=resistance

R\propto L

R\propto \frac{1}{d^2}

whee L and d are length and Diameter

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where k=constant of Variation

6 0
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7 0
3 years ago
Suppose you know a golf ball’s horizontal velocity (Vx) and the time it had traveled through the air (t). How could you calculat
alex41 [277]

Answer:

The answer is "distance = Vx × t"

Explanation:

To determine how far the golf ball traveled, the formula for velocity can be used, which is

velocity (m/s) = distance (m) ÷ time (s)

Make distance the subject of the formula

distance = velocity × time

Thus, where velocity is Vx and time is t

distance = Vx × t

The unit of the distance will be in meter (m)

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