QCEVault

Vector calculus — Question 193

Original QCE Vault practice · 6 marks

Q193 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 193 (6 marks)

Two animated drones have positions rA=(t,2t)\mathbf r_A=(t,2t) and rB=(6−t,3)\mathbf r_B=(6-t,3) metres for 0≤t≤30\le t\le3 seconds. Their paths are shown.
A follows y=2x from (0,0) to (3,6). B follows y=3 from (6,3) to (3,3). Start points labelled.
a)
Determine whether they meet during this interval.
[2 marks]
b)
Determine their minimum distance and its time.
[4 marks]
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