In Exercises 9–12, an object moves along the x-axis so that its posi- tion at any time t2 0 is given by x(1) = s(1). Find the velocity of the object as a function of t. 9. s = cos 2 10. s = t cos (T – 41) 3t 4 sin 31 + 37 4 cos 51 11. s 12. s = sin -t|+ cos 4
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- External stimuli are communicated to the brain by means of electrical signals propagating along nerve cells at a speed of approximately 25 m/s. Similarly, electrical messages are sent at the same speed from the brain along nerve cells to the muscles. Reflex actions are controlled by a relatively simple nerve circuit from a muscle to the spine and back to the muscle. Estimate the reflex time for a stimulus at the knee. (Assume that the signal resulting from the stimulus must travel a distance Δs = 1 m.)The magnitude of a particle's velocity is observed to vary with time according to the equation: |v = Bt where Bis a positive constant. What are the units of B? т S m Om: s? O m· .3 m