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Math and Arithmetic

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Kianna Gislason

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3y ago
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Cards in this guide (18)
A plane is uniformly accelerated from 60 ms to 80 ms in 12 seconds what is the distance traveled by the plane during this period

((60m/s+80m/s)/2)x12s=840m

How long will it take a sailboat traveling at the rate of 5 miles per hour to sail 120 miles

It will take a sailboat 24 hours traveling at 5 miles per hour to sail 120 miles.

Convert 60 miles per hour to ft per sec

60 mile/hour x 5280 ft/1 mi x 1hour/3600 seconds = 88 ft/second

How far will a driver go by maintaining a constant speed of 70 miles per hour and driving for 6 hours

420 miles

How long will it take a driver to drive 300 miles by maintaining a constant speed of 60 miles per hour

Time = Distance/Speed = 300 miles/60 mph = 5 hours

Find the uniformed acceleration that causes a car's velocity to increase from 32 ms to 96 ms in a period of 8.0 seconds

The average uninformed acceleration is (delta-V) / (delta-T). Delta-V = (96 - 32) = 64 m/s. Delta-T = 8.0 seconds. A = (64 m/s) / (8.0 sec) = 8 m/s2

You drive to Austin Texas 300 miles in 5 hours but the return trip takes you 7 hours what is your average speed for the trip in miles per hour

You've done 600 miles in a total of 12 hours, therefore your average speed was 600/12 = 50 mph.

Which of these measurements is not a scalar quantity

5 ft/sec,north

A driver traveling at a speed of 21 ms tops a hill and spots a deer standing in the middle of the road 90 meters away He hits the brakes and panic stops the car in 8 seconds How far did the car travel

Assuming that his acceleration was linear (ie. that he slowed down at a perfectly steady rate), then you can say his velocity at any point in those eight seconds was:

21 - t(21 / 8) m/s

To get the distance covered in that time, you can simply take the area under that line between 0 seconds and eight seconds. Because it's linear, this is very easy. You're dealing with a right triangle that is 8 seconds wide and 21 meters per second tall. With a triangle, the area is equal to half it's width times it's height, so the equation is:

d = 21m/s * 8s / 2

∴d = 168m / 2

∴d = 84m.

So he traveled 84 meters in those 8 seconds, and probably scared the bejeebers out of that poor deer.

Average speed = 21/2 m/s , Time =8 s, Distance = 8 x 21/2 = 84m

A jogger runs at an average speed of 5 m/s for 3 minutes, then finishes with an average speed of 4 m/s for 2 minutes What is his average speed in m/s for the run

4.60

Convert 176 feet second to miles hour

Assuming the question is refering to feet PER second and miles PER hour,

176 fps = 120 mph

How far does a plane fly in 15 seconds while its velocity is increasing from 75 ms to 145 m s at a uniform rate of acceleration

If it accelerates from 75 m/s to 145 m/s at a uniform rate, then its average speed during

the acceleration is 0.5(145+75) = 110 m/s.

Distance covered in 15 sec at average speed of 110 m/s = (15 x 110) = 1,650 m = 1.65 km.

What is the acceleration of a car that slows down from 60 ms to 40 m s during a period of 10 seconds

-2 m/s^2

A motorcycle traveling at 15 m s accelerates at a constant rate of 4.0 ms over a distance of 50 meters What is the final velocity of the motorcycle

25 m/s

The trip took 317 days What was the average speed of the sailboat in miles per hour Round to the nearest tenth of a mile hour

We're missing a value, we'll need the distance traveled to determine that.

You drive a car 2 hours at 40 miles per hour 2 hours at 60 miles per hour how many miles will you travel

If you drive a car at 40 miles per hour for two hours,then the distance covered will be 80 miles.If you drive the car for another 2 hours at 60 miles per hour ,then you will cover another 120 miles.The total distance you will cover is thus 80 miles + 120 miles = 200 miles.

What type of measurement is 5 meters second west

verga

A passenger train pulled away from the station and accelerated at a rate of 1 ms for 1 minute how many meters had it traveled by the end of this minute

1800 meters

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A hammer is dropped off a roof of an apartment building that is 80 meters high How long will it take to hit the ground

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A race car accelerates from rest at a rate of 6 ms How fast will the car be going after 5 seconds

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