Let s(t) = sin 4t be a position function of a particle. At the particle's velocity is
A) Positive
B) Negative
C) Zero

Question

Let s(t) = sin 4t be a position function of a particle. At  the particle's velocity is
A) Positive 
B) Negative 
C) Zero

Quizplus · Accepted Answer

The velocity function of a particle with a position function s(t) is given by the derivative of s(t), which in this case is v(t) = 4cos(4t). At t = 11ead0bc_8cef_188a_99a0_83be3ebb9805_TB6988_11, cos(4t) is positive, so v(t) is positive. Therefore, the particle's velocity is positive at t = 11ead0bc_8cef_188a_99a0_83be3ebb9805_TB6988_11.

Let S(t) = Sin 4t Be a Position Function of a Particle