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Let s(t)=t^(3)-6t^(2) be the position fu...

Let `s(t)=t^(3)-6t^(2)` be the position function of a particle moving along an s-axis, where s is in meters and t is in sec. find the instantaneous acceleration a(t) and show the graph of acceleration versus time.

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ANURAG MISHRA-DESCRIPTION OF MOTION-Example
  1. find the derivative of the function g(t)=((t-2)/(2t+1))^(9)

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  2. Defferentiate y=e^(sinx)

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  3. Let s(t)=t^(3)-6t^(2) be the position function of a particle moving al...

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  4. The po9sition of aparticle is given by the equation. s=f(t)=t^(3)-6t...

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  5. sketh the region whose area is represented by the definite integral an...

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  6. Evaluate (a). int(0)^(2)(x-1)dx (b). underset(0)overset(2)(x-1)dx

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  7. (a). Find the area under the curve y=cosx over the interval [0,pi//2] ...

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  8. Evaluate int(0)^(3)(x^(3)-6x)dx

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  9. Find int(0)^(2)(2x^(3)-6x+(3)/(x^(2)+1))dx

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  10. Evaluate underset(1)overset(9) ((2t^(2)+t^(1/2)sqrt(t)-1)/(t^2)dt)

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  11. A particle moves along a line so that its velocity at time t is v(t)...

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  12. Find the position function of a particle that moves with velocity v(t)...

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  13. Suppose that a particle mvoes on a straight line so that is velocity a...

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  14. Fig. shows thre velocity versus time curves for a particle in rectilin...

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  15. find the total area between the cuve y=1-x^(2) and the x-axis over the...

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  16. A bicycle moves along a stragith road such that its construct the v-t ...

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  17. An experimental car in fig (a) starts from rest and travels along a st...

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  18. Given a=4-2t, initial velocity at t=0,u=5, find distance travelled til...

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  19. If a particle with a = kv^(2) and initial velocity is u then velocity ...

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  20. Given a=-cost, at t=0,u=0,x=1 Position at t=pi Find distance from ...

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