The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 – 2t – 8, 1

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: Find the derivative dydx for the function x=1t+t, y=1t2 at the point t=12.

A: Here given

Q: Suppose that a particle moves along a straight line with a velocity v(t) = 4– 2t, where t is in the…

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Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

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Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t2− 3t − 18,…

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Q: The velocity in m&gt;s of an object moving alonga line over the time interval [0, 6] is v(t) = t2 +…

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Q: Answer part D.

A: As we consider the approximation of function have already done in  above parts,(D) When change in x…

Q: A particle is moving with velocity v(t) = t2-9t + 18 with dista seconds inclusive. The position at…

A: To find the time interval when partical moving right .

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = (10t(4 − t))/((t…

A: to find the displacement of the particle , integrate the velocity function vt therefore,…

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Given:The velocity function of the particle is v(t) = 5t-8.

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

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Q: The time of oscillation, 1, of a pen- dulum is given by t 27 1. wherel is the length %3D of the…

A: Write this equation in standard form then diffrenciate.

Q: If the position of an object is s(t) = 16 + 10.5t – 4.9t meters from zero in t seconds, then what is…

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Q: Find the interval on which the curve dt 3 +t + 212 y = is concave upward.

A: Given: y=∫1x13+t+2t2dt

Q: A particle moves along the x-axis with velocity given by v(t) = ; sin (t) for time t > 0. If the…

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Q: Suppose that a particle moves along a straight line with velocity v(t)=4−2t, where 0≤t≤2 (in meters…

A: Given, Velocity of the particle = v(t) = 4 - 2t  We have to find the displacement at time t = 2 So,…

Q: Find velocity (f'(x)) and acceleration (f''(x)) at time or t=0 with equation s(t)=2((e^t)-(e^-t))

A: We have to find velocity and acceleration

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

A: Consider the position function To calculate the instantaneous velocity

Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b)…

A: The directional derivative of a function f(x,y,z) at the point (x,y,z) in the direction of vector v…

Q: The velocity function is v(t) = -t² + 5t – 4 for a particle moving along a line. Find the…

A: Given that the velocity function is  v(t)=-t2+5t-4 for a particle moving along a line.

Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: The position of a particle at time tis s(t) = 2t 3• Compute the average velocity over the time…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 5t + 15,…

A: Given: s=t2-5t+15, where t is measured in seconds

Q: dy is maximum for the function, dt Give the coordinates of the point where y = sin(t)- t

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Q: The position of a moving particle is given by s(t) = t2 – 7t + 5 on the interval 0 <t< 5, %3D -…

A: First I have find the Instantaneous velocity and then Average velocity then making them equal and…

Q: The position of a moving particle is given by s(t) = t2 – 2t + 6 on the interval 0 <t < 6, - where…

A: We will solve the following.

Q: A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s^2 is…

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Q: Find the speed (as a function of t ) of a particle whose position at time t seconds is c(t) = (sin t…

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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: Find the displacement of a particle moving in a straight line with velocity v(t) = 4t - 3 mis over…

A: Given velocity of particle is vt=4t-3. To find the dispalcement of particle over time interval 2,5.…

Q: Find the displacement of an object on the interval 0 ≤ t ≤ 6 if its velocity is v (t) = 4t -√√t

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Q: The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time…

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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: A train moves at a velocity of v(t)= 3t" - 3200t km/sec where t in seconds is the time passed since…

A: Find your answer below

Q: Suppose an object moves along a line at 19 m/s for 0sts2 s and at 25 m/s for 2<ts5 s. Sketch the…

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Q: A particle is moving in a straight line with the velocity v(t) =1-t,0<t< 3. Compute the distance…

A: We have V=1-t⇒dxdt=1-t∫0△xdx=∫(1-t)dt

Q: Determine the length of the curve TC f(x) = In[sec(x)],0 < x < 4

A: The given curve is- f(x)=lnsec(x)Interval 0≤x≤π4We need to determine the length of the given…

Q: Let v(t) = 3t – 5 be the velocity function for a particle moving along a straight line. Here,…

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Q: Let v(t) = t2 – 10t be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

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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: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: A particle moving along a line has position s(t) = t4 − 18t2 m at time t seconds. At which times…

A: St=t4-18t2The particle passes through the origin when St=0t4-18t2=0t2t2-18=0t2=0   t2-18=0⇒t=0…

Q: Let v(t) = -14t + t² be the velocity, in ft/sec, of an object at time t, in %3D seconds. a) What is…

A: Solution is given below:

Q: The position of a particle at time t is s(t) = 4t^3. compute the average velocity over the time…

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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: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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