The position function of a particle is given below. s(t) = t³ + 1.5t² - 55t, t z 0 When does the particle reach a velocity dof 5 m/s? t = second(s)

Q: The velocity of an object is given by the velocity function v(t) = t/42. If the object is at the…

A: Given query is to find the the position at t = 20.

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: A particle moves with position function s(t) = t – 4t³-20t?+20t where t > 0. At what time does the…

A: This question is based on application of Derivative.

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: The position function of a particle is given below. s(t) = t3 + 6t2 − 32t, t ≥ 0 When does the…

A: Given:     To determine: Time at which particle reaches a velocity of 4m/s.

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: 2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t2 –…

A: Topic:- application of derivatives and integration

Q: The driver of a car traveling at 48 ft/sec suddenly applies the brakes. The position function of the…

A: Topic- application of derivatives

Q: f(0) is solve by using the following The orthogonal trajectories of the family of curves r=…

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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 position function of a particle is given below. s(t) = t3 + 6t2 − 59t, t ≥ 0 When does the…

A: Given,         The position function of a particle is given below :          st=t3+6t2-59t ,t≥0…

Q: A particle is moving with a position function given by s(t) = 6t² - in metres and time in seconds.…

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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: 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 velocity of a skydiver 1in m>s2 t seconds after jumping from a plane is v1t2 = 60011 -…

A: Limits are used where the exact value of the function cannot be determined, hence the approaching…

Q: The position of a particle is described by the function f (t) = ÷t³ –;t + 6t + 1. Consider the…

A: given: ft=13t3-52t2+6t+1

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: Find the velocity of the particle at the instant when t = 2?

A: Given: A particle is moving along the straight line and it's position at any time t≥0 in seconds is…

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: Suppose the function p(t)=(t^2 - 2)e^2t represents the position of a particle at time t. Determine…

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Q: A particle moves along a straight line with equation of motion = f(t) = 9t2 + 4t + 5, where s is…

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Q: The position function of an object is given by s(t)%3D21 - 5t, where time, t, is in seconds and…

A: Position function st=2t3-5t

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 position function of a particle is given by  s = t3 - 4.5t2 - 7t, t > 0.(a) Find 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: 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: A particle is moving along a straight line, whose directed distance from its origin is given by the…

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Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: Q4: Find the derivative of the function at Po in the direction of A 1) f(x, y) = 2.xy -3y, P.(5,5).…

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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 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: The motion of a particle is described by the position function S(t) = t³ – 4.5t² + 6t + 2, t > 0,…

A:

Q: The position function of a particle moving along the x−axis is given by x(t)=t3−4t2+5t−2, t≥0. Find…

A: We find the velocity by finding the first derivative of x(t)

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: 4. The position of a particle moving along a horizontal path is given by s(t) = t³ - 4t² - 3t+8,…

A: This is a problem related to differentiation of the function. Based on the general formula and…

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 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: Let s(t) = 4t + 24ť² – 60t be the equation of motion for a particle. Find a function for the…

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Q: At time t>=0, the velocity of a body moving along the horizontal s-axis is        y = t2 - 4t +…

A: Given,

Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

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Q: 1. The position function of a particle is given by s(t) = t³ – 6t²+9t – 60, t > 0 is given in…

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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: The position of an object moving along a straight path is given by s(t) = 1.8t2 – 3.1t + 6.7. Find…

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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 position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

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Q: (b) The velocity of a car (measured in m/s) t seconds after starting from rest and moving in a…

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