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John P.
lead science tutor
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Physics
TutorMe
Question:

a ball is launched from a 10 meter high cliff with an initial velocity of 30 m/s. how far does the ball travel before hitting the ground?

John P.
Answer:

using our kinematics equations we first determine the time it takes for the ball to fall the 10 meters. in this case the ball has no initial velocity in the y direction so we can set up the reduced form of s=vi*t+1/2*a*t^2 as s= 1/2a*t^2. plunging in the numbers 10=1/2(9.8)(t^2) solving this equation gives us t=1.4. we can then use the simple equation s=vi*t. s=(30m/s)*1.4s=42.8m the ball travels 42.8 meters before hitting the ground

Basic Math
TutorMe
Question:

a tree of unknown height cast a shadow that is 20 feet long, at an angle of 30 degrees above the horizon. how tall is the tree?

John P.
Answer:

using the given information it is determined that tangent is the appropriate trigonometric function for obtaining the height of the tree. In this case 20 tan(30) = 11.55 feet.

Product Design
TutorMe
Question:

In the product development cycle where is feed back most important?

John P.
Answer:

All stages of the product development cycle require feedback, but the most important time is before the tech package is sent to manufacturing. This is the last opportunity to make changes before the product hits the shelves

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