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

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: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3. v' + t+ro If the…

A: This is a linear differential equation which have to be solved using integrating factor

Q: 2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3 v' + v = g. t+ro If…

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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: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given curve is Firstly, we will find value of x and y at t=3pi/4

Q: The position of a particle moving along the x-axis is given by 4 37 x(t) = (t – 1)* +(t – 1)³ – 12(t…

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

Q: dy dx\, Given that x = t e and y = 1² e“ +1¸ Find = - 1

A: We have to find derivative at that point

Q: Find the average velocity from time t= 0 to t = 1 of a car whose position p(t) along a horizontal…

A: Here, we have, Position of car along horizontal track is pt=4-t-2 from t=0 to 1 It is known that…

Q: For what value of t will the slope of a line tangent to x = 6 sin t, y = t² + t be 0?

A: We have to find t

Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0…

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Q: A particle is moving in such a way that its velocity v is given by the equation v(t) = cost + sin t.…

A: Given : vt = cost + sint

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: 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: At any time t, the velocity of a particle moving along the y-axis is given by v(t)= 4t - t^2. The…

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Q: If position is given by p(t) = t² – 1, what is the velocity, v(t), at t = 1. |meters per second

A: The position is pt=t2-1   Known fact: It is known that the velocity of an object is the rate of…

Q: The position function of an object is given by s(t) = -t + 2t. For t > 0 and s(t) = 0m, the velocity…

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Q: If the position of a particle is represented by x(t) = -t2 + 1, what is its instantaneous velocity…

A: We are given that the position of a particle is represented by x(t)=-t2+1. Now, we need to find its…

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: If an object moves along a line with its position (in meters) after t seconds given by f(t) (1+ sin…

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Q: A particle moves along the x-axis with velocity given by v(t) = 10t + 12 for time t> 0. If the…

A: For the given velocity  v(t) = 10t +12 for t>=0 if the position is x =2  at time t = 0  Position…

Q: A particle moves along the x-axis with its position measured relative to the origin and has an…

A: To find: The velocity and position after t=1 second: Given: The acceleration of the body is at=6t+4…

Q: A particle moves along the x-axis with velocity given by v(t)=3t^2-6tv(t)=3t2−6t for time t\ge…

A: Answer and explanation is given below..

Q: Suppose the position of an object moving in a straight line is given by s(t) = t2 + 5t + 2. Find the…

A: we have to find the instantaneous velocity at t=1 position of the object is ,  s(t)=t2+5t+2

Q: The bending moment M of the beam is given by -w(l – x) where w is a constant Determine of x given M…

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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 equation of a curve having a slop by dy xy? у 3 ху? —, x > 0 dx and passing through the…

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Q: s = -t² + 6t –1 and 0<t <1 then the velocity at t = 1 is

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Q: If x t-t3 and y = t2-t, the value of at t = 2 is dy dx

A: It is simple differentiation.

Q: For what value(s) of t will the slope of a line tangent to x = 6 sin t, y = t² + t be undefined, for…

A: Here we have to find the slope of the tangent line.

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

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Q: If xy + ey = e, find the value of y′′ at the point where x = 0.

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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: This question is designed to be answered with a calculator. An object's velocity is given by v(t) =…

A: Given,          An object's velocity is given by vt=0.5t+3t-1t-52 , where t is time,          in…

Q: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3() v' +. -v = g. |t…

A: Given equation is in variable separable form so we need to separate v and t and then integrate it…

Q: 4) The position of an object as a function of time is given by 8 = 2t + t +1 s(t) = a. Find the…

A: Definition used -                 Instantaneous velocity -  It is given by the derivative of…

Q: (b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

A: We will solve the problem

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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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: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

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: 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: 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: Suppose the velocity of an object is given by the following formula: v(t) = 2(t^2) +8t -12 When will…

A: To determine: Velocity of an object is given by the following formula:…

Q: x = VE, y = t? – 2t; t = 16

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Q: For which value of a the equation dz dy dx =2 does hold?

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

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

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=et , y=t-lnt2,  t=1 Differentiating with respect to t, we get dxdt=detdt  &amp;…

Q: Given that: 0 V40x – x² dx Find the value of m

A: From the given problem: I=∫04040x-x2dx So, we can also write as: ∫04040x-x2dx=∫040-x-202+400dx...1…

Q: Find an equation of the line tangent to the curve at the point corresponding to the value of the…

A: Using formula of equation of tangent line.