The initial velocity of an object is \(u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}\). If the acceleration of the object is \(a = \begin{pmatrix} 3 \\ ...
Question 1 Report
The initial velocity of an object is \(u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}\). If the acceleration of the object is \(a = \begin{pmatrix} 3 \\ -4 \end{pmatrix} ms^{-2}\) and it moved for 3 seconds, find the final velocity.
Answer Details
The final velocity of an object can be found using the formula:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Substituting the given values, we have:
v = (-5, 3) + 3(3, -4)
v = (-5, 3) + (9, -12)
v = (4, -9)
Therefore, the final velocity of the object is \(\begin{pmatrix} 4 \\ -9 \end{pmatrix} ms^{-1}\).
The correct option is (C).
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