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il63 [147K]
4 years ago
15

15. An insect lands on a compact disc that is put

Physics
1 answer:
lions [1.4K]4 years ago
5 0

Answer:

Yes, it is accelerating

Explanation:

Acceleration is a vector quantity, which means it has both a magnitude and a direction.

Acceleration is defined as the rate of change of velocity:

a=\frac{\Delta v}{\Delta t}

where v is the velocity and t is the time.

v, the velocity, is also a vector, having both a magnitude (called speed) and a direction. This means that the acceleration is non-zero whenever the velocity is  changing: this means that we have an acceleration either when the speed is changing, or also when the direction of the velocity is changing.

In the example in the question, the insect spins with the disc, so it is in circular motion. This means that the direction of the velocity of the insect is constantly changing: therefore, the acceleration of the insect is non-zero, so the insect is accelerating.

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3 years ago
Please help me with this (with explanation)
Sergeeva-Olga [200]

Suppose the cyclist travels for a total time of <em>t</em> hours.

For 20 min = 1/3 hr, the cyclist does not move.

Over the remaining (<em>t</em> - 1/3) hr, the cyclist is moving at a constant speed of 22.0 km/hr, so that the cyclist would travel a distance of

<em>x</em> = (22.0 km/hr) • ((<em>t</em> - 1/3) hr) ≈ (22.0 km/hr) <em>t</em> - 7.33 km

If the cyclist's average speed over the total time <em>t</em> was 17.5 km/hr, then by the definition of average speed,

17.5 km/hr = <em>x</em> / <em>t</em>

Replace <em>x</em> with the distance expression from earlier:

17.5 km/hr = ((22.0 km/hr) <em>t</em> - 7.33 km) / <em>t</em>

Solve for <em>t</em> :

17.5 km/hr = 22.0 km/hr - (7.33 km) / <em>t</em>

(7.33 km) / <em>t</em> = 4.5 km/hr

<em>t</em> = (7.33 km) / (4.5 km/hr)

<em>t</em> ≈ 1.62963 hr

Then the distance the cyclist traveled must have been

<em>x</em> ≈ (22.0 km/hr) (1.62963 hr) - 7.33 km ≈ 28.5 km

and so the answer is A.

Alternatively, as soon as you arrive at

17.5 km/hr = <em>x</em> / <em>t</em>

you can instead solve for <em>t</em> in terms of <em>x</em>, then plug that into the distance equation.

<em>t</em> = <em>x</em> / (17.5 km/hr)

then

<em>x</em> ≈ (22.0 km/hr) (<em>x</em> / (17.5 km/hr)) - 7.33 km

<em>x</em> ≈ 1.25714 <em>x</em> - 7.33 km

0.25714<em>x</em> ≈ 7.33 km

<em>x</em> = (7.33 km) / 0.25714 ≈ 28.5 km

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