Given that the acceleration of an object in 1-D motion is described in the graph below: accelerhen 4 Accalenaton (a) in a=t a= 10-t t ottess a 10-t 5etsle +++ (a)Find: the velocity v(t) for 0

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A: This is an application of differential calculus.

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Q: 3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1).…

A: Given,  Acceleration is,  at=-cos t, -sin t, -1Writing in vector form,at= -cos ti^ + -sin tj^+…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: A particle moves along the x-axis with it's position at time t given by x(t)=(t-a)(t-b) where a and…

A: Given A particle moves along the x-axis with it's position at time t is   x(t)=(t-a)(t-b)  where a…

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Q: A particle moves along the x-axis so that at any time t > 0, its acceleration is given by a(t)=…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: You ARE TESTING A DECRSTINE CLOCK, TO POSSIBLY BE MANUFACTURED BY YOUR CONSUMER ELECTRONICS…

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A: Particle acceleration velocity and position.

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A: For the given position vector  x(t) = -t3+11t2-24t Velocity at t = 7 is calculated as shown below

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A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0,…

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Q: A particle starts at time t-0 and moves along the x-axis so that its position at any time tz 0 is…

A: The position of the particle at any time t is: x(t)=t-132t-3x(t)=2t4-9t3+15t2-11t+3

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A: Basics of differentiation are used.

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A: Let's find.

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A: Given: t≥0xt=t2-7t+13

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A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

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Q: 2. A particle moves with position s = t* – 4t3 – 201² + 20t when t >0. At what time does the…

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Q: 8. The velocity of a particle moving along a straight line at time t is given by v(t) = 2t – 2t3/2 –…

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Q: 2. In physics, the velocity of a particle,moving with constant acceleration a, with respect to time…

A: Let's find.

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A: The acceleration is given by . We can rewrite  using the chain rule as . Replace  in . Integrate…

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A: Please check step 2 for the solution.

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A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

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Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t) = -t + 4ť² – 4t.…

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Q: A particle moves along the x-axis in such a way that its acceleration at time t for t ≥ 0 is given…

A: A particle moves along the x-axis in such a way that its acceleration at time t for t ≥ 0 is given…