If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is given by y = 45t – 9.8t?. Find the average velocity over the time intervals [1,2], [1,1.1], and [1,1.01]. Then estimate the instantaneous velocity when t = 1.

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height in feet t seconds later is…

A: Average velocity over time period t = a to t=b: f(b)-f(a)b-a    In following solution, y = f(t)is…

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A: We are allow to solve only one question at a time  Thank you for your question

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Q: If a ball is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is…

A: Authoring guidelines:…

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

A: y=40t-16t2

Q: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feett seconds later is…

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Q: (a) Find the velocity at time t.

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Q: If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given…

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A: st=t4-18t2 Substitute 0 for s(t) into above position function. st=0t4-18t2=0t2t2-18=0t=0 or t2=18t=0…

Q: 32. y = - on [1, 3]

A: Given information is as below: y=1xinterval [1,3]

Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: Given: velocity=12m/sy=12t-1.86t2

Q: a ball is thrown into the air with a velocity of 42 ft/s, its height in feet t seconds later is…

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

A: The given function is y = 40t – 16t2.(a)The average velocity for the time as follows.

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A: The given function is,

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A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

Q: Suppose a stone is dropped from a height of 200 ft. Its position at time t is s(t) =-12r +200. Find…

A: To find the time t when instantaneous velocity equal to average velocity.

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A: s(t) = 1.9t2 [a, b] = [5, 9] s(a) = s(5) = 1.9 x 52 = 47.50 s(b) = s(9) = 1.9 x 92 = 153.90

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A: The number of hours of skilled labor is y and unskilled labor is x.

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Q: If a ball is thrown straight up into the air with an initial velocity of 60 ft/s, its height in feet…

A: given y=60t-16t^2

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

A: Topic :- Application of Derivative

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Q: 5. If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet t seconds later…

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A: The solution is given in next step

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Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…

A: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…

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Q: suppose s(t) is the position of an object moving along a line at time t>0. What is the average…

A: Given: The position of a moving object moving along a line is s(t) for time, t>0.

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