The position function of a particle is given by s = t3 – 10.5t2 – 2t t>0 where t is measured in seconds and s is in meters. When does the particle reach a velocity of 22 m/s? after 9 seconds after 8 seconds after 6 seconds after 1 second after 7 seconds

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 giyen by s(t) = (t – 1)²(t – 3) , where t is measured is…

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Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 4t, t 0 When does the…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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

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Q: 3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 15t?…

A: The position of the particle along the horizontal line is given by: s(t)=2t3-15t2-84t+3

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 9t + 17,…

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Q: The position function of a particle is given by s = t3 - 1.5t² – 13t, t z 0. (a) When does the…

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Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

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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: The displacement, x of a body as a function of time, t is given as r(t) m. The velocity in m/s at t…

A: given x(t)=3e-2t+5t2

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 position function of a particle is given by s = t3 – 13.5t2 – 4t, t>0, where t is measured in…

A: Given: s=t3-13.5t2-4t,   t≥0 The velocity given is 26m/s Since, vt=s't Therefore,…

Q: The position function of a particle is given below. 6t2 91t, t 2 0 s(t) t3 When does the particle…

A: To determine the time when the particle reach a velocity of 5 m/s.

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: - 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 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 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: The position function of a particle is given by s(t) = t-1.5t2-2t for tz0. At what value of t does…

A: To find the velocity function , then at which time velocity will be 166 m/sec.

Q: The position function of a particle is given by the equation s(t) = -2t2 + 3t + 10. Determine the…

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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: A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 1) Find the velocity, v(t) of the…

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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 velocity function of a particle moving along a horizontal line is given by v(t) = t^2 − 8t + 15,…

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Q: If an arrow is shot straight up from the surface of the moon with an initial velocity of 50 ft/s,…

A: Given:       s(t) = 50 t - 83 / 100t2

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 velocity of an object moving in a straight line is given (in m/s) by v(t) = 2t – 3. Find the…

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Q: Suppose the position of an object moving in a straight line is given by the specified function. Find…

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Q: The position function of a particle is given bys = t3 -4.5t2 -7t         t≥0(a) When does the…

A: Given the position function of a particle is s=t3-4.5t2-7t, where t≥0. (a). We know that velocity of…

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: A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t…

A: Differentiate the function s(t)=2t3+3t2+4 to find the velocity function.…

Q: The velocity, v of a body as a function of time, t is given as v(t) = 3e 2t + 2, where t is in…

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Q: A particle moves along a vertical coordinate axis so that its position at any time between 0 and 10…

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Q: An object moves along an axis and the position is measured in meters. The velocity function is v(t)…

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Q: The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle…

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Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 13 for time t > 0. If the…

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

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Q: A particle's position with respect to time as it moves along a coordinate axis is given by the…

A: Given position function,p(t) = t3+3t2+3t+1

Q: The position of a particle is described by the function f (t) = t³ – 3t? + 8t + 1. Consider the…

A: givenposition of a particlef(t)=13t3-3t2+8t+1the distance travelled by the particle between t=0 and…

Q: A particle in R2 has a velocity function of v(t) = (3t²-4, 6t + 2) (given in m/s). After moving for…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² -…

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