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Position of particle is given by S = t^3...

Position of particle is given by `S = t^3 – 2t^2 + 5t + 4`
(a) Find the position of particle at `t = 1` sec
(b) Find the first derivative of S at `t = 1` sec
(c) Find the second derivative of S `t = 1` sec

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The correct Answer is:
a = 8,b = 4,c = 2, b, `cos theta=(vecF_(1),vecF_(2))/(|vecF_(1)||vecF_(2)|)rArr theta=cos^(-1)((3)/(5sqrt2))` c, `F_(1)cos theta=(vecF_(1),vecF_(2))/(|vecF_(2)|)=(6)/(5)`
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MOTION-VECTOR & CALCULUS-EXERCISE -4 (LEVEL - I) PREVIOUS YEAR
  1. Match the statements given in column-I with statements given in column...

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  2. Position of particle is given by S = t^3 – 2t^2 + 5t + 4 (a) Find t...

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  3. Two forces vecF(1) = 2hati + 2hatj N and vecF(2) = 3hati + 4hatkN are ...

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  4. Assertion: A vector qunatity is a quantity that has both magnitude and...

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  5. Statement-1 : If the rectangular components of a force are 8 N and 6 N...

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  6. If three vectors vecA, vecB and vecC satisfy the relation vecA.vecB = ...

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  7. Assertion: The minimum number of vectors of unequal magnitude required...

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  8. Statement-1 : The angle between the two vectors (hatI + hatJ) and (hat...

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  9. Assertion : Distance is a scalar quantity. Reason : Distance is the ...

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  10. State true or false If vecA & vecB are two force vectors vecA. vecB ...

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  11. State true or false If vecA & vecB are two force vectors then vecAxx...

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  12. State true or false If the vector product of two non-zero vectors va...

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  13. State true or false If a function has maximum value at point P theh ...

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  14. The scalar product of vector vecA= 2hati + 5hatk and vecB = 3hatj + 5h...

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  15. If vecA=3hati+4hatj and vecB=7hati+24hatj, find a vector having the sa...

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  16. If vecA||vecB then vecA xx vecB=……….

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  17. The magnitude of area of the parellelogram formed by the adjacent side...

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  18. A force is represented by 2hati + 3hatj + 6hatk. The magnitude of the ...

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  19. The unit vector along vector hati + hatj + hatk is ………..

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  20. If vecA is …………….to vecB, then vecA.vecB = 0

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