1.Determine the particle\'s velocity as a function of time. Express your answer

Question

1.Determine the particle's velocity as a function of time.

Express your answer in terms of the unit vectors i^, j^, and k^.

2.Determine the particle's acceleration as a function of time.

Express your answer in terms of the unit vectors i^, j^, and k^.

You are given a vector in the xy plane that has a magnitude of 86.0 units and a y component of -56.0 units.

a).What are the two possibilities for its x component?

b)Assuming the x component is known to be positive, specify the vector V?  which, if you add it to the original one, would give a resultant vector that is 90.0 units long and points entirely in the ?x direction.

Explanation / Answer

apply velocity v = dr/dt

v = d ( 9.60ti^ + 8.85j^ - 1.00t^{2}k/dt

v = 9.6i + 0 j   - 2t k

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accleration a = dv/dt

a = 9.6 i /dt   -2t/dt k

a = 0i + 0j -2 k

2. r = xi + yj

here r = 86 and y = -56 j

so apply r^2 = x^2 + y^2

x^2 = 86^2 -(56^2)

x =

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