An object is launched into the air from the top of a building. It's height, in feet, after t seconds is given by h(t) = - 16 + 88t + 100 Answer the following questions: a. What was the height of the building the object was launched from? b. What is the maximum height the object reaches? c. How long will it take for the object to hit the ground?

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Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t +…

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Q: If an object is thrown directly from t seconds s (t) = -16t ^ 2 + 48t + 256 feet after t seconds.…

A: For maxima, [double derivative of  s(t)]<0.

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Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 45 m/s. As a result its height…

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Q: The revenue (R) for a company is given by the equation: R= -0.0175x^2 + 423.92x where x is the…

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Q: A ball thrown into the air reaches a height h (in feet) according to the formulah = -16t2 + 64t,…

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A: The given model function is:

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Q: The height h, in feet, of an object above the ground after t seconds is given by h(t) = -16t2 + 64t…

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Q: 3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

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A: ht=-16t2+80t+4 Comparing with ht=at2+bt+c, we get a=-16, b=80 & c=4 Now maximum value occurs at,…

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Q: An artillery shell is fired from the top of a 450-foot ridge with an initial velocity of 860 feet…

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Q: The height of a stone catapulted into the air is given by h(x)=−1/480x2+3x+2 where x is the…

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Q: The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in…

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Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.