At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.)

Q: Find the average velocity for the position function , in mm, over the interval , where is in…

A: Here I am attaching image so that you understand each and every step.

Q: (a) What is the cyclist's average speed, in mph, over the time interval [0, 1]? (b) What is the…

A: a) At t=0, distance=0 miles At t=1, distance= 12 miles So the average speed in the time interval…

Q: For the following graph, what is the average velocity of the object from time t = 2s to t = 4s? Ad…

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Q: What is the velocity (in ft/s) of a sandbag 1.5 s after it is released from a hot-air balloon that…

A: Given that t=1.5 sTo find : Velocity of sandbag1.5 s after it is relesed from a hot air balloon that…

Q: The pressure of wind in pounds per square foot, corresponding to the velocity in miles per hour has…

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Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…

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Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

A: This question is based on application of Derivative.

Q: What constant acceleration (in ft/s?) is required to increase the speed of a car from 30 mi/h to 58…

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Q: 1. A car moving east accelerates from 22 m/s to 37 m/s in 9.2 s. What is the car's acceleration?…

A: Given :- Initial speed of car (U) = 22 m/s Final speed of car (V) = 37 m/s Time taken (t) by car to…

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

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Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, wheret is…

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Q: If a ball is thrown into the air with a velocity of 46 ft/s, its height in feett seconds later is…

A: As  per guidelines we can solve the 1st three subparts only. if you need more answer kindly repost…

Q: Sand is being dropped at the rate of 5 n3/min onto a conical pile. If the height of the pile is…

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Q: A particle is moving such that its position after t hours is s(t) =- -measured in meter. 4t +1 Find…

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Q: 1a. What is the average velocity of the car between t=0 and t=15?   1b. What is the average…

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

A: Given, A ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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 rocket is propelled upwards and reaches a height of h(t)=4.9t in t seconds. a) How high does it…

A: The given equation is: ht=4.9t2 a). The height after 35 seconds: Put the value of t =35 in given…

Q: If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t…

A: Given that: An initial velocity of the ball is is 52 ft/s, and height after t seconds is given by…

Q: find the average rate of change of the function overthe given interval or intervals. h(t) = cot t…

A: Given function is ht=cott To find: The average rate of change of the function over the interval…

Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…

A: We know that, Average velocity          = change in position/time elapsed.

Q: A colony of flies has an initial population of 4466. After t days, the population is given by…

A: We need to find the rate of change of the flies population.

Q: The following table shows the velocity of a snail at various distances in a race of overall distance…

A: Given, x 0 5 10 15 20 y 4 8 9 6 4 As it is known that the Simpson's rule is given as,…

Q: ind the average rate of change between the given points f(t)=t^2 -2t between t=2 and t=5

A: f(t)=t2-2tf(2)=4-4=0f(5)=25-10=15average rate of change  =f(5)-f(x)5-2  =15-03  =5

Q: (c) At what time 1, 0SIS 15, is the snail's instantaneous velocity equal to its average velocity…

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Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

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

Q: A particle moves along a straight line and its position from a reference fixed point O is given by…

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Q: 6. Determine, to two significant digits, the velocity of escape for each of the celestial bodies…

A: The data are rough and g may be taken to be 6.1×10-3 miles per sec2.

Q: A population of ladybugs begins with 50 ladybugs and increases at a rate of l'(t) ladybugs per week.…

A: A population of ladybugs begins with 50 ladybugs and increases at a rate of l'(t) ladybugs per week…

Q: If we ignore air resistance, a falling body will fall 16t216t2 feet in tt seconds. What is the…

A: If we ignore air resistance, a falling body will fall 16t2 feet in t seconds. We have to find the…

Q: Given the position function s =² + 9t – 5, what is the instantaneous rate of change at t = 3? o 15 O…

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Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

A: Given: A square with side x. changing with time is given as, xt=4t-2. The objective is to find the…

Q: The position of a toy train on a straight track is given by the following table. Find the velocity…

A: Find the velocity at t = 0.7

Q: Given the acceleration of an object and its initial velocity, how doyou find the velocity of the…

A: We know that the rate of change of velocity of a moving particle is known as its acceleration. Let…

Q: A reservoir discharging water through sluices at a depth h feet below the water surface, has a…

A: Consider the provided question,

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are…

A: Given that the velocities(in mi/hr)of an automobile moving along a straight   highway over a 2-hr…

Q: f(30+h}-f{30)

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Q: The table below gives the result of an observation, is the observed temperature in degrees…

A: We have to solve the given problem by Newton's forward differential equation.

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

A: Given :                  The velocity of a car was read from its speedometer at 10-second…

Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: Estimate the instantaneous rate of change ot P(t) = 3t?+4 at the point t= -2,

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

A: Find the distance traveled by the car using the Midpoint rule as follows. The distance traveled by…

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At…

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Q: If it begins to decelerate at the rate of a=(-0.5v/2) m/s², where v is in m/s, determine the…

A: To find the distance travels by the particle before it stops. Given that: Initial velocity of the…

Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given…

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Q: Find the average speed over the time interval [1, 5] (time in seconds) of a particle whose position…

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Exponential Growth Model

The relation that represents an exponential function is: