At the time t = 0 a particle is at the origin, has an initial velocity v_0 = (7.

Question

At the time t = 0 a particle is at the origin, has an initial velocity v_0 = (7.00 m/s)j and an acceleration a = (3.50 m/s^2)i. Determine the following for the particle at the time t = 5.50 s. (Express your answer in vector form.) (a) position vector r(t = 5.50 s) = 38.5i + 52.94j Can you express the position vector at any time in terms of the initial position, initial velocity, acceleration, and time? Can you write a vector (in unit vector notation) for the initial position, initial velocity, and acceleration? m (b) velocity vector v(t = 5.50 s) = m/s

Explanation / Answer

v0 = 7 m/s j

a = 3.50 m/s^2 i

t = 5.50 s

(A) r = v0t + a t^2 /2

r = (7j x 5.50) + (3.50i x 5.5^2 / 2)

r = (52.9 m) i + ( 38.5 m) j

(B) v = v0 + a t

v = 7j + (3.50i x 5.50)

v = (19.2 m/s) i + (7 m/s ) j

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