QCEVault

Vector calculus — Question 141

Original QCE Vault practice · 6 marks

Q141 · Practice questionTechnology-activeComplex unfamiliar6 marks

QUESTION 141 (6 marks)

A particle has position r(t)=(t2,2t,3−t2)r(t)=(t^{2}, 2t, 3-t^{2}) for t≥0t\ge 0.
Original diagram for Specialist Mathematics Paper 2 question 12
a)
Find velocity and speed at t=1t=1.
[2 marks]
b)
Find acceleration.
[2 marks]
c)
Find the time when velocity is perpendicular to acceleration.
[2 marks]
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