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makkiz [27]
2 years ago
5

Little Red travels 30 miles to her grandmother's house at a steady speed of 10 miles per hour. If she leaves at 2pm, what time w

ill she arrive?
Physics
1 answer:
3241004551 [841]2 years ago
8 0

Little Red will arrive at her grandmother's house at 5 PM :)

30/10 = 3

2 + 3 = 5

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a.\rm -1.49\ m/s^2.

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<u>Given:</u>

  • Velocity of the particle, v(t) = 3 cos(mt) = 3 cos (0.5t) .

<h2>(a):</h2>

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<u>Note</u>:<em> The arguments of the sine is calculated in unit of radian and not in degree.</em>

<h2>(b):</h2>

The velocity of the particle at some is defined as the rate of change of the position of the particle.

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\rm \int\limits^2_0 dr=\int\limits^2_0 v\ dt\\r(t=2)-r(t=0)=\int\limits^2_0 3\cos(0.5\ t)\ dt

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\Delta r=3\ \left (\dfrac{\sin(0.5\ t)}{0.05} \right )\limits^2_0\\=3\ \left (\dfrac{\sin(0.5\times 2)-sin(0.5\times 0)}{0.05} \right )\\=3\ \left (\dfrac{\sin(1.0)}{0.05} \right )\\=50.49\ m.

It is the displacement of the particle in 2 seconds.

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