Post Utme Uniport 2024 Mathematics Question 22

Practice objective / multiple choice question 22 from the 2024 Post Utme Uniport Mathematics examination.

Post Utme Uniport 2024 Mathematics Objective / Multiple Choice
Question 22 POST_UTME_UNIPORT • 2024 • MATHEMATICS • objective

A particle moves in a plane with its position vector given by \(\mathbf{r}(t) = \langle 2t, 3t^2 \rangle). Find the velocity vector \(\mathbf{v}(t)\\(). Find the velocity vector (\) and acceleration vector \(\mathbf{a}(t)\).

Answer Options

Correct Answer A. \(\mathbf{v}(t) = \langle 2, 6t \rangle\), \(\mathbf{a}(t) = \langle 0, 6 \rangle\)
B. \(\mathbf{v}(t) = \langle 2, 6t \rangle\), \(\mathbf{a}(t) = \langle 0, 12t \rangle\)
C. \(\mathbf{v}(t) = \langle 2t, 6t \rangle\), \(\mathbf{a}(t) = \langle 0, 6 \rangle\)
D. \(\mathbf{v}(t) = \langle 2t, 6t \rangle\), \(\mathbf{a}(t) = \langle 0, 12t \rangle\)
Correct Answer
A
Correct Option:
\(\mathbf{v}(t) = \langle 2, 6t \rangle\), \(\mathbf{a}(t) = \langle 0, 6 \rangle\)

About This Question

This is Post Utme Uniport 2024 Mathematics Question 22. It is one of the objective questions from the 2024 Post Utme Uniport Mathematics examination.

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