ds The position of a particle at time t is given by s. Find the velocity dt 4 - 5st + 2t - 7t= 0

Q: The position of the particle at time t is given by s(t) = t2 – 14t + 48. The particle is moving from…

A: When velocity that is derivate of position function become positive than partice will move from left…

Q: The position of a particle at time t is given by p(t)=7t^2.3-5t^1.2. Find the particle's…

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Q: A particle moves in a straight line with the given velocity v(t) = 4t-2 – 1 (in m/s). Find the…

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Q: A particle is moving with acceleration a(t)=36t+14. its position at time t=0 is s(0)=14 and its…

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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: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t – 9t² + 24t +…

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Q: give the acceleration a = d2s/dt2, initial velocity,and initial position of an object moving on a…

A: We know that velocity, y=dsdt and acceleration, a=dydt. We have given a=-4sin 2t. To find velocity y…

Q: give the velocity y = ds/dt and initial position ofan object moving along a coordinate line. Find…

A: It is given that equation of velocity (y) is Comparing both the above equations

Q: he position of the particle at timet is given by s(t) =ť² – 4t + 3. The particle is moving from…

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Q: A particle moves with position function s = t4 – 4t3 20t2 + 20t, t > 0 - (a) At what time does the…

A: Given problem:- A particle moves with position function   S=t4 -4t³ - 20t² + 20t, t≥ 0   (a) At what…

Q: In dynamics, v=ds/dt (velocity) and a=dv/dt (acceleration) are called equations of motion where the…

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Q: Given the acceleration a=d^2s/dt^ 2​, initial​ velocity, and initial position of a body moving on a…

A: Given :- a=-81sin9t, v(0)=9,  s(0)=-7 Here, a is accelerationdvdt, v is velocity dsdt and s is…

Q: s(t) = 2t – 15t2 + 36t – 10represents the position of a particle travelling along horizontal line.…

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Q: A particle moves along a straight line according to the velocity function v(t)=sen(ωt) cos2(ωt).…

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Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

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Q: An object experiences acceleration as given by: a(t) = e3t – 2, v(0) = 1 and y(0) = 3 %3D Determine…

A: We can solve this question and find the value of displacement and velocity as below

Q: A particle moves along coordinate axis. Its position at time "t" is given by s(t) = 7² – 15t + 5 3…

A: Velocity zero for rest.

Q: The position of the particle at time t is given by s(t) = t² – 18t + 80. %3D The particle is moving…

A: The particle will move from left to right if the velocity is positive

Q: give the velocity y = ds/dt and initial position ofan object moving along a coordinate line. Find…

A: The given differential equation is dsdt=32t-2 with initial condition s0.5=4. integrate both sides of…

Q: The position of the particle at time t is given by s(t) = t2 – 16t + 63. The particle is moving from…

A: t=10.0 seconds

Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: The position of the particle at time t is given by s(t) = t2 - 8t + 15. The particle is moving from…

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Q: If the velocity of a particle at time t is given by the initial value probler s(1) = 2. Find the…

A: Given that: Velocity of particle, v=dsdt=6et+15t+11, and s(1)=2

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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

A: Given: V(t)=3t-7,  0≤ t ≤ 3 To find distance traveled by particle during the given time interval .

Q: Q2) the velocity (V = ) and initial position of a body moving along a dt coordinates line , Find the…

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Q: A particle moves in a straight line with acceleration a(t) = 3t2 + et, initial velocity v(0) = 4

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Q: ds The position of a particle at time t is given by s. Find the velocity dt s4-7st+2t-3t= 0 ds dt

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Q: 9) A particle moves along the y-axis with velocity v(t) = 2tvt² +1 m s' for t 2 0. Describe its…

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Q: A particle moves along the x-axis so that at time t > 0 its velocity is given by v(t) = 3t² – 30t –…

A: topic - quadratic equations

Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t³ – 9t2 + 24t +…

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Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t> 0,

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Q: A particle moves along a straight horizontal line so that its position at any time is given by s(t)…

A: Let's find.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 5 – 4t, where 0<t< 2 (in…

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Q: A particle moves along a line in such a way that its velocity at time t is u(t) = tP + 4t – 32…

A: Here we have to the distance and displacement for the given velocity and time function.

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

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Q: A particle is moving with v (t) =t – 3vt. Find the position of the particle at time tif s (4) = 2.

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Q: A particle moves along coordinate axis. Its position at time "t" is given by s(t) t² – 15t + 5 · 3…

A: The particle is at rest when rate of change of ,S(t) is zero.

Q: A particle moves on the x axis with acceleration a(t)=6t-10 m/sec2 for t seconds over [0,10] with…

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Q: give the velocity y = ds/dt and initial position ofan object moving along a coordinate line. Find…

A: Given, Velocity,y=dsdt Also given, y=sinπt,s(0)=0

Q: The position of the particle at time t is given by s(t) = t2 – 24t + 63. The particle is rest at t =…

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Q: The position of the particle at time t is given by s(t) = t – 6t + 8. %3D The particle is moving…

A: The particle moves to right if it's velocity is positive .

Q: The position of the particle at timet is given by s(t) = t – 8t + 15. The particle is moving from…

A: Given: st=t2-8t+15 When the particle st is left to the origin then st&lt;0 Assume, st=t2-8t+15=0 Now…

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: An object experiences acceleration as given by: a(t) = e3t – 2 , v(0) = 1 and y(0) = 3 Determine the…

A: Given,          An object experiences acceleration as given by :          at=e3t-2 , v0=1 and y0=3

Q: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 13 and…

A: To find out the position of the particle at t=3

Q: The position of a body moving along s-axis at any time 't is given by s(t) = 16t - 12t, then the…

A: The position of a body s(t)=16t3-12t

Q: (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 second? v(1) = ft/s…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…