A particle moves such that

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A particle moves such that v(t)=⟨30,40−10t⟩\mathbf{v}(t)=\langle 30,40-10 t\rangle. Find all times within 0≤t≤80 \leq t \leq 8 when the direction angle of velocity with the +x+x-axis is 45∘45^{\circ} in the first quadrant.

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