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Strike441 [17]
3 years ago
13

I need this answer ASAP!!

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

Anuta_ua [19.1K]3 years ago
3 0

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

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The location x of a car in meters is given by the function x = 30t - 5t^2 where t is in seconds. At the time when the car is mov
EastWind [94]

So, how far is the car from where it was at t = 0 is 40 m

<h3>Velocity of the car</h3>

Since the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.

So, v = dx/dt

= d(30t - 5t²)/dt

= d30t/dt - d5t²/dt

= 30 - 10t

When v is 10 m/s in the negative direction, v = -10 m/s.

So, v = 30 - 10t

-10 = 30 - 10t

-10 - 30 = -10t

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t = -40/-10

t = 4 s

<h3>The distance at 4 s when its velocity is -10 m/s</h3>

Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is

x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]

= 120 - 5(16) - [0 - 0]

= 120 - 80 - 0

= 40 m

So, how far is the car from where it was at t = 0 is 40 m

Learn more about distance of car here:

brainly.com/question/17097458

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