Given two particles-velocity, (particle 1 and particle 2), what is particle 2 velocity relative to particle 1 if particle 2 is chasing particle 1? (give answer in unit vector notation) particle 1 = [1 m/s + ( 2m/s2 )t ]i + [ ( 3 m/s3 )t2 ]j particle 2 = [ .5 m/s + (.75 m/s2) ]i + [ (1 m/s3 )t2]j

Given two particles-velocity, (particle 1 and particle 2), what is particle 2 velocity relative to particle 1 if particle 2 is chasing particle 1? (give answer in unit vector notation) particle 1 = [1 m/s + ( 2m/s2 )t ]i + [ ( 3 m/s3 )t2 ]j particle 2 = [ .5 m/s + (.75 m/s2) ]i + [ (1 m/s3 )t2]j

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Question

Given two particles-velocity, (particle 1 and particle 2), what is particle 2 velocity relative to particle 1 if particle 2 is chasing particle 1? (give answer in unit vector notation)

particle 1 = [1 m/s + ( 2m/s²)t ]i + [ ( 3 m/s³)t² ]j

particle 2 = [ .5 m/s + (.75 m/s²) ]i + [ (1 m/s³ )t²]j

Expert Solution

Step 1

Given:

Velocity of the particle 1 is $v_{1} = [1 \frac{m}{s} + (2 \frac{m}{s^{2}}) t] \hat{i} + [(3 \frac{m}{s^{3}}) t^{3}] \hat{j}$ .

Velocity of the particle 1 is $v_{2} = [0.5 \frac{m}{s} + (0.75 \frac{m}{s^{2}}) t] \hat{i} + [(1 \frac{m}{s^{3}}) t^{3}] \hat{j}$

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