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Fittoniya [83]
2 years ago
5

Which diagram represents the hypothesis of the converse of corresponding angles theorem?

Mathematics
1 answer:
BabaBlast [244]2 years ago
5 0

Answer:

the first diagram

Step-by-step explanation:

first one

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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
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The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

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In this time, the projectile will have traveled horizontally a distance of

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The projectile's horizontal and vertical velocities are given by

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v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

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