- Example: Give the positions s f(t) of a body moving on a line, with s in meters and t In second. Find the body's displacement and average velocity for the given time interval. Also, find the body's speed and acceleration at the endpoints of the interval. During the given interval, when does the body change direction 2. s -t+3t2- 3t, 0St<3

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: s=t³ - 9t2 + 24t -5 (meters) is the position of a particle at any time t (seconds). Determine the…

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Q: In 1994, the moose population in a park was measured to be 4030. By 1997, the population was…

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Q: A particle moves along a straight line with equation of motion. s=f(t) where s is measured in meters…

A: To find the velocity and the speed of the particle when time t = 5 seconds.

Q: A rocket sled having an initial speed of 153 mi/h is slowed by a channel of water. Assume that…

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Q: A rocket sled having an initial speed of 112 mi/h is slowed by a channel of water. Assume that…

A: We have to form differential equation for velocity and then solve it to get velocity in terms of μ…

Q: 4. A ball's position, in meters, as it travels every second is represented by the position function…

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Q: The position of a particle P on a line l is given by s(t) = 2t3- 4t2 + 2t - 1, where s(t) is in feet…

A: Given, the position of a particle P is s(t) = 2t3 – 4t2 + 2t – 1, we have to find the velocity v(t)…

Q: In 1993, the moose population in a park was measured to be 3160. By 1996, the population was…

A: Answer

Q: (c) Suppose the velocity, v, of an object is given by v = 212 - 5t - 12 where t is time in seconds.…

A: Consider the velocity function, v of an object  v=2t2-5t-12 Consider the velocity function, v…

Q: In 1992, the moose population in a park was measured to be 4370. By 1999, the population was…

A: We have to find the formula on the basis of 1990 Population in 1992 (2 years ) =4370 Population in…

Q: Carrie, marine biologist is performing experiments along the continental slope off of the coast of…

A: Now the speed of the current at the depth of the robot as a function of time is,

Q: 9. A mouse is moving in a straight path according to the function: s(t) = t3 + t2 – 8t + 11 (t is…

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Q: 4. The equation of motion of a particle is s = t* – 2t3 + t? – t, where s is in meters and t is in…

A: Derivative of  positions is called velocity  and Derivative of velocity is called  acceleration

Q: Given the graph of velocity, v(t), which graph describes the acceleration of the function? 10 5- -5-…

A: Given that: Graph of velocity

Q: The demand for a certain commodity is -05x D(x) = 6000e %3D units per month when the market price is…

A: To find out the rate of consumer expenditure.

Q: The position function of a particle is s − 2t3 - 5t - 1 3t +4, where s is measured in centimeters…

A: Given: s-2t3 - 5t - 1 3t +4,

Q: In 1992, the moose population in a park was measured to be 3020. By 1996, the population was…

A: It is given that, the population of moose in 1992 is 3020 and the population in 1996 is 2540. Let t…

Q: For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is…

A: To find the solution

Q: In 1994, the moose population in a park was measured to be 4170. By 1998, the population was…

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Q: In 1993, the moose population in a park was measured to be 4010. By 1996, the population was…

A: Given: The moose population in a park measured in 1993 was 4010.The population measured again in…

Q: A dog is walking in a straight line on the road looking for bones. The dog is attracted to the smell…

A: The function x(t) indicates the position of dog with respect to time, t. So, the velocity of dog is…

Q: In 1994, the moose population in a park was measured to be 4420. By 1996, the population was…

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Q: The height of a mountain above sea level at point (x, y) is given by f(x, y). A mountain climber…

A: Given height of a mountain above sea level at point P(x,y) is f(x,y). At point P, if we go towards…

Q: Caren rides her bicycle along a straight road from home to school, starting at home at time t-0…

A: We are given that during the time interval 0≤t≤12 minutes, her velocity v(t), in miles per miles per…

Q: In 1994, the moose population in a park was measured to be 3540. By 1999, the population was…

A: Formula , slope of line  m = ( y2 - y1 ) / ( x2 - x1 )

Q: A particle moves vertically (in inches) along the yoxis according to the position equation s(t)=> -…

A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: A company buys a new bulldozer for $98950. The company depreciates the bulldozer linearly over its…

A: If you like the solution then please give it a thumbs up... The Answer is :    (A)    V(t)=…

Q: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 –Vx – 13(0.9y –…

A: Here, the given function of demand is: D(x,y)=21000-12x-13(0.9y-10)32 where x is the price per car…

Q: In 1993, the moose population in a park was measured to be 4620. By 1998, the population was…

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Q: 2. State the equation of the line passing through the points (7,-1) and (2, 2). a. 5x +3y – 16 = 0…

A: Since you have posted multiple questions, we will only solve first three questions as per our…

Q: In 1991, the moose population in a park was measured to be 4520. By 1998, the population was…

A: In 1991, moose population is 4520  In 1998, moose population is 4100 Population continue to change…

Q: In 1994, the moose population in a park was measured to be 3010. By 1997, the population was…

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Q: A heat-seeking particle is located at the point (2,3) on a flat metal plate whose temperature at a…

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Q: The demand for a certain commodity is D(x) = 7000e-.01r units per month when the market price is x…

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Q: In 1993, the moose population in a park was measured to be 3960. By 1998, the population was…

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Q: 12. The function represents the position of a body along a straight line in t seconds is given by…

A: The function represents the position of a body along a straight line in t seconds is given by…

Q: In 1993, the moose population in a park was measured to be 3950. By 1998, the population was…

A:

Q: In 1995, the moose population in a park was measured to be 3400. By 1998, the population was…

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Q: In 1993, the moose population in a park was measured to be 3590. By 1997, the population was…

A: Let x represents the years and y represents the moose population . Lets assume the year 1990 as…

Q: An object is moving along the curve y=x2−2x+3. Find a point on the curve at which the y−coordinate…

A: We need to find the point on the curve at which  the y−coordinate is changing 4 times faster than…

Q: The total charge in an electrical circuit as a function of time is given by q = t 1+t² Find the…

A: Given:        q=t1+t2,C        q=t·1+t2-1 The derivative of this expression is      dqdt=ddtt·1+t2-1…

Q: In 1992, the moose population in a park was measured to be 3820. By 1997, the population was…

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Q: An object moves in such a way that its displacement s (in metres) as a function of time t (in…

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Q: An object moves along a straight line so that at any time t, 0 <t 9, its position is given by x (t)…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

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Q: In 1992, the moose population in a park was measured to be 4130. By 1996, the population was…

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Q: Q4/ An object is moving along the curve y=x2-2x+3. Find a point on the curve at which the…

A: Solution:-

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: