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Casey I.

Mechanical Engineering Undergraduate Student

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Geometry

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Question:

If a right triangle has an angle of 23 degrees in one corner. How many degrees is the third interior angle?

Casey I.

Answer:

67 degrees as a triangle's angles always sum to 180 degrees.

Calculus

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Question:

Find the derivative of 6x^(7) + 5x ^(4) + 3x +6.

Casey I.

Answer:

42x^(6) + 20x^(3) + 3. Found using the power rule.

Physics

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Question:

If a ball is thrown from a height of 5 meters at a velocity of 15 m/s at an angle of 30 degrees above horizontal. How far will the ball travel before hitting the ground? Take gravity as 9.8 m/s^(2)

Casey I.

Answer:

The distance traveled will be 26.5 meters. Broken down using basic kinematic equations and simple trigonometry. Use Vf= Vi +at to find how far ball travels into air before hitting V= 0. Then use Vf^2 = Vi ^2 + 2ad to find the final velocity when ball hits the ground. Use final velocity to find how long ball was in the air, adding time to peak and time to ground. Use total time ball was in air with speed in the horizontal direction to find how far ball traveled.

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