The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle reach a velocity of 52 m/s? 12 8. 6. 5,

Q: find an equation for the line in the xy-plane that is tangent to the curve at the point…

A: To find an equation for the line in the xy-plane that is tangent to the curve at the point t = 2…

Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

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Q: The displacement, in meters, of an object moving in a straight line is given by s(t) = 3+ 4t +t2,…

A: The displacement is given by

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: The position of a particle is given by: s = f(t) = t³-12t²+36t, 2. where t is measured in seconds…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 8t + 17,…

A: We have solve the problem by putting the value of interval in average velocity formula.

Q: A weather balloon is released and rises vertically such that its distance s(t) above the ground…

A: s(t)= 6+13t+8t^2 ds/dt = v = 13+16t v= 13+ 16(52) v= 13 + 832 v= 845.

Q: The position function of a particle is given by s(t) =3t-t, t20. (e) When does the particle reach a…

A: Topic- application of derivatives

Q: A particle is moving along a horizontal line such that its velocity is given by v(t) = 3ť² – 24t+36,…

A: Let's find.

Q: The acceleration of a particle at time t is given by a(t) = 4e2t¸ If the initial velocity was 5, and…

A: We will use integration to first find the velocity and then integrate velocity function to find…

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

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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: Suppose the position of an object moving in a straight line is given by s(t) = 5t2 − 2t − 7. Find…

A: Given: s(t)=5t2-2t-7, at t=2

Q: What is The velocity when s=0 ? given:     s=-16t^2+80t+60 where t is in seconds  velocity at t=2

A: s=-16t2+80t+60 Velocity is the derivative of the position function. So differentiating…

Q: Let v(t) = -13t + t² be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

A: Given velocity function, v(t)= -13t + t²

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 an object moving on a line is given by s(t) = 6t2 – t°, t > 0,

A: Solve

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

A: Given velocity of a body:

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = t? – 8t + 15,…

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Q: The velocity of a particle moving along a straight line is given by v(t) = 6t² + 4t – 5 cm/sec at…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t? – 3t + 10…

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Q: Suppose the position of an object moving in a straight line is given by s(t)= 5t2 − 2t − 7. Find the…

A: Given position of an object moving in a straight line is given by: st=5t2-2t-7 To find the…

Q: The position of a moving particle is given by s(t) 2t2-18t on 2 <t<9where 's' is meters and 't' is…

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Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

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Q: The position function of a particle is given by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

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: s =t² – 7t +15, where t is measured in seconds. (A) (i) Find the average velocity over the time…

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

Q: The position function of a particle is given below. s(t) = 3 + 6t2 - 61t, t > 0 When does the…

A: Velocity function is the derivative of the position function. So differentiating s(t) with respect…

Q: A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t² – 24t+36,…

A: Topic:- application of derivatives

Q: The position function of a golf ball rolling on an incline is given by d(t) = 4t² + 3t, where d is…

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Q: The position function of a particle is given below. s(t) = t3 + 1.5t2 - 16t, t 0 When does the…

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Q: The height h m of a projectile after t s is given by the equation h = 340t – 5.0t? + 6 Use…

A: To calculate the maximum height. (in the given question h = 340t – 5.0t? +6, maybe the ? sign means…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 7t³ -² +6. Find the…

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Q: The position function of a particle is given below. s(t) = t3 + 1.5t2 - 55t, tz 0 %3D When does the…

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Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: The position of a moving object is given by the function s (t) = 4t² – 10. What is the instantaneous…

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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: The velocity function of a particle moving along a horizontal line is given by yt) = t? – 8t + 15,…

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Q: For numbers 7 and 8. Let v(t) =t2 – 2t – 5 be the velocity function for a particle moving along a…

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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: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters…

A: To find the velocity function from the position function, we have to differentiate position function…

Q: The velocity of an object moving along a line is given in the graph below for 0 <t < 8. Att = 0, the…

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Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: Consider a particle with a position function given by s(t)=48t-3t^2. When will the the particle…

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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: find the velocity at 2 seconds for the position function s(t) =-16t2+35t+55 where distances are…

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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: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…