The position of a particle moving along a coordinate line is s = V3+ 6t, with s in meters andt in seconds. Find the particle's velocity at t= 1 sec. ... A. 1 m/sec 1 O B. - m/sec Oc. 1 m/sec O D. 2 m/sec

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A: as we can see in graph velocity of object decreasing after (t=3 seconds)

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A: To find the velocity of the given function.

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Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: Givena(t) = <3,9t,et>

Q: If position is given by p(t) = t + 1, what is the velocity, v(t), at t = 2. meters per second

A: topic - derivatives

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: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =

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Q: Can i get help step by step

A: Given velocity function is  Integrating both sides , we get

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = = 3¹, what is the…

A: Given :Velocity , V(t)=3t

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A: solution:-position of particle is given byx(t)=t2-4t+3velocity, v(t)=ddtx(t)…

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: See attached file for a step by step explanation.

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A: Given displacement function  c(t) = (ln(t2 +1), t3) to = 15 seconds

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A: When the particle hits the ground then Y(t)=0 At t=0 it is initial position , so we ignore it  So,…

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Q: he velocity function of a particle in motion is given by v(t) = 3t2 i+ (t + 1)2j+ %3D

A: Given, Velocity function of a particle in motion is given by  v→t = 3t2 i→+ t+12 j→ + e2t+1 k→ To…

Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

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A: Given position vector - r(t) = t3i-etj+4tkDifferentiating with respect to t to find the speed…

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A: Given: The position of a particle moving along a coordinate line is:

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Q: (бх + у?)dx + (2ху — Зу?)dy %3D 0 уз 3.

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Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 21…

A: Consider the given velocity v=21mihr and t=20min

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Q: nd the position and velocity of an object moving along a straight line with the given acceleration,…

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Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: The velocity of a body at time t is given as: vt=9π2cos3π2t On integrating v(t) with respect to t we…

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A: Given that, v = 75 miles/hour  t = 15 sec We have to find the distance s covered by the point.

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A: we have been given the linear velocity v = 47mi/hr and time t=12hr

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A: Velocity, distance, time: Velocity V=20 ft/sec Time t=4 sec.