A particle initially located at the origin has an accelerationof a = 3.00 j m/s

Question

A particle initially located at the origin has an accelerationof a = 3.00 j m/s2 andan initial velocity of vi = 5.00i m/s. Find a. the vector position and velocity vector at any time t b. the coordinates of position vector at t = 2.00s A particle initially located at the origin has an accelerationof a = 3.00 j m/s2 andan initial velocity of vi = 5.00i m/s. Find a. the vector position and velocity vector at any time t b. the coordinates of position vector at t = 2.00s b. the coordinates of position vector at t = 2.00s

Explanation / Answer

1. A particle initially located at the origin has an acceleration of a = 3.00j m/s2 and ainitial velocity of v = 5.00i m/s. Find:
a) The vector velocity at any time t.
r(i) = 0i + 0j
V(f) = v(i) + at = [5.00 + 3.00tj] m/s
At t = 2.00 s ; v (f) = (5.00i + 3.00(2.00)j) m/s = (5.00i + 6.00j) m/s

b) The speed of the particle at t = 2.00 s.
V (f) = |vf| = 7.81 m/s

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