Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object. r(t) = (2,1°, e -1), for t20 (a) v(t) = (OOD |v(t)| =| %3D (b) a(i) = OID

Q: Find the speed at the given value of t: r(t) = (e4, -9,4t-1),t = 4

A: We know that V(t)=r'(t)Here r(t)=<et-4,-9,4t-1>Differentiate…

Q: The position of a particle moving along a straight line is given by s =t3-9t2+24t, where s is…

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Q: The velocity function is v(t) = -t + 5t – 6 for a particle moving along a line. Find the…

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Q: The position of an object is modelled by the function s(t) = 2t° – 15t?+36t + 8, where s(t) is the…

A: Explained below

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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

Q: XVII. For w = x³ + xy² +yz, find the rate of change of w at point (1,2,3) in the direction towards…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = ? -…

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Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

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Q: A position function is given by r(t) = (10m+20mt)i-5mt2j. What is the velocity of the object it…

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Q: Consider the function: f(t) =-16t+ 20t+ 800 reterring to an egg thrown from 8oot. Time, t, is in…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.