Use the Positive functi on s(t)= -16t +v,t+s, for free-falling objects. A box is dropped from the top of a 450-foot platform .What is its velocity after 2 seconds?After 5 seconds?

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Q: Had Galileo dropped a cannonballfrom the Tower of Pisa, 179 ft above the ground, theball’s height…

A: We have given, s=179-16t2 a) Velocity is the derivative of the height function. Thereore, v=s'=-32t…

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A: Given, v(t)=t3-2t2   Interval [a,b]=[-2,3]

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A: Let's find.

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Q: Use differentials to approximate VI2.3 . b Express your answer as a ±- where a is the nearest…

A: Given 12.33 Using differential to approximate 12.33  Let y=x3=x13dydx=13x-23dy=13x-23dxdy=dx3x23

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A: Given:The height (in feet) after t seconds is given by y = 41t - 16t2

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A: Given information: st=5t2+t3 Find the velocity at -2.

Q: t 2 If the velocity of a moving object is y(t) = --- 2 12 in meters per second, then what is its…

A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

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Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²

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Q: XVI. Find the tangent to z = x²e° when x = 2, y = 0.

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Q: Find the acceleration at time t = 5 min of a helicopter whose height is                s(t) = 300t -…

A: Our Aim is to find the acceleration at time t=5 min of helicopter whenheight  is s(t)=300t-4t3 m.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: S=sin(2t)-5t

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A: Explanation and solutions is given below....

Q: If s = 3t – 16t-², when will acceleration be zero? An object moves along a horizontal line according…

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Q: If a cannonball is shot directly upward with a velocity of 144 ft per second, its height above the…

A: This question is about application of derivative

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A: As per guidelines i can solve only first question

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A: This question is based on derivative application.

Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

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Q: Suppose you are standing in a field near a straight section of railroad tracks just as the…

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A: Solution is given as below:

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

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Q: The velocity (in feet per second)of a partice moving along a line is v(t) = t – 10t² +29t – 20 -…

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Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: r. Using differentials, approximate the percent error in computing the length of the hypotenuse.

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Q: Find the point on the curve f (x) = Vx that is closest to the point (2,0). Put your answer in the…

A: Use distance formula and differentiate and put zero

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Q: If a ball is thrown vertically upward from the roof of a 64 foot tall building with a velocity of 80…

A: Let's find maximum height and velocity of ball at ground.

Q: Find a general expression for the velocity of the rock at any time t. s(t)=64-16t2,

A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of…

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height (in feet) after t seconds is…

A: Consider the given question,The distance(y) equation is given as,