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4 years ago

10

An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the ne

arest tenth of a meter per second.)

2 answers:

kati45 [8]4 years ago

6 0

Answer:

8.7

Explanation:

LUCKY_DIMON [66]4 years ago

5 0

The answer that is got 8.7 . I got that because if you divide 200 by 23 you get <span>8.69565217391 and if you round that you get 8.7</span>

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A particle moves in a straight line and has acceleration given by a(t) = 12t + 10. Its initial velocity is v(0) = −5 cm/s and it

soldi70 [24.7K]

Answer:

The position function is $s_{t}=2t^3+5t^2-5t+9$ .

Explanation:

Given that,

Acceleration $a =12t+10$

Initial velocity $v_{0} = -5\ cm/s$

Initial displacement $s_{0}=9\ cm$

We know that,

The acceleration is the rate of change of velocity of the particle.

$a = \dfrac{dv}{dt}$

The velocity is the rate of change of position of the particle

$v=\dfrac{dx}{dt}$

We need to calculate the the position

The acceleration is

$a_{t} = 12t+10$

$\dfrac{dv}{dt} = 12t+10$

$a_{t}=dv=(12t+10)dt$

On integration both side

$\int{dv}=\int{(12t+10)}dt$

$v_{t}=6t^2+10t+C$

At t = 0

$v_{0}=0+0+C$

$C=-5$

Now, On integration again both side

$v_{t}=\int{ds_{t}}=\int{(6t^2+10t-5)}dt$

$s_{t}=2t^{3}+5t^2-5t+C$

At t = 0

$s_{0}=0+0+0+C$

$C=9$

$s_{t}=2t^3+5t^2-5t+9$

Hence, The position function is $s_{t}=2t^3+5t^2-5t+9$ .

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3 years ago

Why can't birds fly in space

blagie [28]

Answer:

wouldn't they be dead and there's no oxygen in space....right???

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3 years ago

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The speed limit on some interstate highways is roughly 80 km/h. What is this in meters per second? How many miles per hour is th

sergey [27]

Answer:

1) Speed in m/s equals 22.22 m/s.

2) Speed in miles per hour equals 49.712 mph.

Explanation:

Since we know that in 1 kilometer there are 1000 meters and in 1 hour there are 3600 seconds hence we can write

$80km/h=\frac{80\times 1000m}{3600s}=22.22m/s$

Now we know that 1 mile equals 1.609 kilometer hence we conclude that 1 kilometer equals $\frac{1}{1.609}=0.6214$ mile

Hence

$80km/h=\frac{80\times 0.6214miles}{1h}=49.712mph$

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4 years ago

Why does a tail appear when a comet nears the sun?

ahrayia [7]

It heats up. the ice transforms directly from a solid to a vapor, releasing dust particles. the solar wind sweeps the material and it forms what to appears to be a tail.

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What is the best example of rotational motion

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3 years ago

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