The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is th position of the particle when it achieves its maximum speed in the positive x direction?

Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.

The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At  = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.)   (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.

v(t) = 4t3 + 10t m/s. The initial position is r = 3 m. 3. A one dimensional problem. Assume v = Determine the position and acceleration at time t = 3sec.

The displacement of a particle is given by s = 4t³ - 60t² + 100t -58 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 1.8 S= i fty = i ft/seca = i ft/ser sec, At t = 6.6 i S= fty = i ft/seca = i ft/se sec, Att = 9.8 sec, i fty = ft/seca = S = i ft/ser The velocity is zero when t = i sec and when t = sec