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wariber [46]
3 years ago
13

The Indianapolis 500 is one of the most exciting events in sports. Each spring, 33 drivers compete in the 500-mile race, sometim

es hitting speeds of more than 220 miles an hour. The general formula for computing distance is rate (or speed) multiplied by time, given a steady average speed. The formula may be written d = rt. Answer today's project questions on speed, distance, and time.
The driver's average speed to complete all 8 laps is ______ miles per hour. Round to the nearest tenth of a mile per hour.
Physics
1 answer:
zzz [600]3 years ago
4 0
1. d = r*t

if the race is 8 laps and the total miles is 500, that means that each lap represents 62.5 miles.
if the driver does the first 3 laps at 185 miles per hour, we use d = r*t.
 we have the equation:

3*d/(185)

next part

5*d/(200)
add together

3d/185 + 5d/200 = t

2. we need to use percentages. 

the percent the driver drove 185 miles per hour is 3/8. 
the percent the driver drove 200 miles per hour is 5/8

185*(3/8) + 200*(5/8) = 69.375 + 125 = 194.375 mph
nearest tenth : 194.4

hope this help
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The velocity of the transverse waves produced by an earthquake is 4.05 km/s, while that of the longitudinal waves is 7.695 km/s.
lora16 [44]

Answer:

x = 600 Km

Explanation:

given,

speed of transverse wave = 4.05 Km/s

speed of longitudinal wave = 7.695 Km/s

difference of the time of arrival of wave = 69.9 s

now,

t₂ - t₁ = 69.9 s

let x be the distance

\dfrac{x}{4.05} - \dfrac{x}{7.695} = 69.9

x = \dfrac{69.9\times 4.05 \times 7.695}{7.695-4.05}

x = 597.645 Km

x = 600 Km

distance of recorder from the site is 600 Km approximately.

4 0
4 years ago
Dave rows a boat across a river at 4.0 m/s. the river flows at 6.0 m/s and is 360 m across.
Ad libitum [116K]

a) Let's call x the direction parallel to the river and y the direction perpendicular to the river.

Dave's velocity of 4.0 m/s corresponds to the velocity along y (across the river), while 6.0 m/s corresponds to the velocity of the boat along x. Therefore, the drection of Dave's boat is given by:

\theta= arctan(\frac{v_y}{v_x})=arctan(\frac{4.0 m/s}{6.0 m/s})=arctan(0.67)=33.7^{\circ}

relative to the direction of the river.


b) The distance Dave has to travel it S=360 m, along the y direction. Since the velocity along y is constant (4.0 m/s), this is a uniform motion, so the time taken to cross the river is given by

t=\frac{S_y}{v_y}=\frac{360 m}{4.0 m/s}=90 s


c) The boat takes 90 s in total to cross the river. The displacement along the y-direction, during this time, is 360 m. The displacement along the x-direction is

S_x = v_x t =(6.0 m/s)(90 s)=540 m

so, Dave's landing point is 540 m downstream.


d) If there were no current, Dave would still take 90 seconds to cross the river, because its velocity on the y-axis (4.0 m/s) does not change, so the problem would be solved exactly as done at point b).

7 0
4 years ago
A 17.3 eV electron has a 0.295 nm wavelength. If such electrons are passed through a double slit and have their first maximum at
4vir4ik [10]

Answer:

0.541 nm

Explanation:

The condition for maxima is,

dsin\theta=m\lambda

Here, m=0,1,2,.....

And d is the slit separation, m is the order of maxima, \lambda is the wavelength.

Given that, the 17.3 eV electron posses a wavelength of

\lambda=0.295 nm\\\\\lambda=0.295\times 10^{-9}m

And the order of maxima is m=1.

And the angle at which first order maxima occur is,  \theta=33^{\circ}.

Put these values in maxima condition while solving for d.

d=\frac{1\times 0.295\times 10^{-9}m}{sin33^{\circ}} \\d=\frac{0.295\times 10^{-9}m}{0.545} \\d=0.541\times 10^{-9}m}\\d=0.541 nm

Therefore, the slit separation is 0.541 nm.

7 0
3 years ago
Where do glaciers form
Yuki888 [10]
Glaciers<span> begin to </span>form<span> when snow remains in the same area year-round, where enough snow accumulates to transform into ice. Each year, new layers of snow bury and compress the previous layers. This compression forces the snow to re-crystallize, forming grains similar in size and shape to grains of sugar.</span>
3 0
3 years ago
Read 2 more answers
A rescue pilot drops a survival kit while her plane is flying at an altitude of 2000.0 m with a forward velocity of 100.0 m/s. I
Nastasia [14]

Answer:

H = 1/2 g t^2      no original vertical velocity

t = (2 * 2000 / 9.8)^1/2 = 20.2 s

Sx = 100 m/s * 20.2 s = 2020 m

3 0
3 years ago
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