A particle starts moving from the origin at time t = 0 with the dot production of the position vector and the velocity vector given by rv = k²t, where k is a constant. 1. Express the dot product rv as a time derivative(). Hint: remember that for two vectors A and B, (A. B) = d.B + A. B dt dt 2. What is the distance of the particle from the origin after 4 seconds?
A particle starts moving from the origin at time t = 0 with the dot production of the position vector and the velocity vector given by rv = k²t, where k is a constant. 1. Express the dot product rv as a time derivative(). Hint: remember that for two vectors A and B, (A. B) = d.B + A. B dt dt 2. What is the distance of the particle from the origin after 4 seconds?
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Transcribed Image Text:A particle starts moving from the origin at time t=0 with the dot production of the
position vector and the velocity vector given by rv = k2t, where k is a constant.
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1. Express the dot product r v as a time derivative().
d
Hint: remember that for two vectors A and B, (AB) =
, (A. B) =
2. What is the distance of the particle from the origin after 4 seconds?
dA
A A·B+ A. d
dB
dt
dt
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