s(t)=-t2+6t 1)Find displacement after 5 seconds 2) Find the distance traveled after 5 seconds

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: Two boats leave K and T leave port at the same time. T sails South 40⁰ East while k sails North 65⁰…

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Q: A particle moves on a vertical line so that its coordinate at time t is y = t – 12t + 3, t 2 0,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The position of a particle is given by s(t) = t³ – 20.5t² – 2t, t > 0. When does the particle reach…

A: Given,           The position of a particle is given by st=t3-20.5t2-2t , t≥0.             The…

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

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

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

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 6t, where 0 <t < 2 (in…

A: To find the displacement at time t.

Q: The position of a particle moving horizontally is given by s(t) = 2t³ – 15t2 + 24t – 11, where s is…

A: Let's find.

Q: %3D A cyclist rides down a long straight road at a velocity (in m/min) given by v(t) = 400 - 20t,…

A: To determine the distance traveled by the cyclist.

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: When d is in feet, t in second , find the velocity at t= 2 of the motion s = t^2 +3t

A: s=t2+3tVelocity of the particle isdsdt=2t+3On putting the value oft=2

Q: The displacement (in meters) of a particle moving in a straight line is given by = 9t3 + 4t – 18, |…

A: Given,         The displacement in meters of a particle moving in a straight line is given by…

Q: A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s2 ? =…

A: To find: The instantaneous velocity at t=2. Given: The acceleration of particle is a=12t2-24t+8.…

Q: A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a…

A: Given: Pole of length (L): (x+(L-x))

Q: A particle follows the trajectory x(t) = 3 + 2t, y(t) = 10t – t2 with t measured in seconds and…

A: Given: xt=13t3+2tyt=10t-t2

Q: / uousənd Solve for x and y in the parallelogram. (3x 4) (4y +'3) X =

A: Solution:- Given the parallelogram                            we need to find the value of x and…

Q: Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Time (sec) in (w)…

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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.

Q: A particle moves on the x-axis with velocity given by v(t) = 3t4 − 11t2 + 9t − 2 for −3 ≤ t ≤ 3 .…

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Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

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Q: A projectile is released with an initial (vertical) velocity of 110 m/s. Use the formula…

A: The velocity of particle at any time t is When the particle reach its maximum height , its velocity…

Q: Assume a particle’s position is given by f (t) = −4 / t, where t is measured in seconds and f (t) is…

A: The velocity of a particle is found by differentiating the position function of a particle,…

Q: Find the net change in velocity over [1, 4] of an object with a(t) =8t - t2 mls2 .

A: Given, Acceleration is, a(t)=8t-t2 ,ms2

Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti,…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

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Q: The velocity of a ball projected upward from ground level is given by v(t) = −32t + 48, where t is…

A: We know that, the rate of change of distance with respect to time is called velocity. That if s…

Q: (A)A particle is moving in a straight line according to the formula s(t) = 2t³ – 9t² + 12t – 15 .…

A: To determine: A particle is moving in a straight line according to the formula:…

Q: ): The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 12t² –…

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Q: Sketch the cunves x= 6-y and x t3y = 2 cnd fnd the Aea encbsed.

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Q: A particle is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A: Given v=t+3t2+3t+2. The objective is to find the distance traveled by the particle from the time…

Q: nen does the particle reach a velocity of 137 m/s if its position function is given by:…

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Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti,…

A: Velocity and acceleration

Q: The velocity of an automobile starting from rest is v(t) = 90t/(4t + 10) where v is measured in feet…

A: Given velocity function is vt=90t4t+10  .....1

Q: * The velocity of a particle moving on a straight line is given by v(t) = t²e¯† meters per second at…

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Q: C) Was the speed of the particle increasing or decreasing at t = 4 ? Justify your answer. D) For t >…

A: Explanation: c. Given the object position function is: s(t)=t3-9t2+18To find the speed of object we…

Q: Your velocity is given by v(t) = t2 + 1 in m/sec, with t in seconds. Estimate the distance, s,…

A: Write the function of velocity in the form of variable time

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

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Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is…

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Q: 3e2º sec 20 dy determine de Given y = V(0-2)

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Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

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Q: s(t) = -16t– 8t + 64. %3D a. Determine how long it takes for the ball to hit the ground. b.…

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Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: stimate the population will grow to P(t) (408)4, where t represents the number of %3D rding to this…

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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: A particle moving on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At…

A: The given function for position of an object is where t is the time in seconds. Now, to find points…

Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

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Q: Consider an object moving along a line with velocity v(t) = 6t2 – 12t with t measured in seconds and…

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Q: ft (in -) is given by v =t - 2t + 5, where t is the time

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Q: S. 3 z dz where C is straight line segment from i to -2 - 3i

A: We put z=x+iy And dz=dx+idy