A horse canters away from its trainer in a straight line, moving 116 m away in 14.0 s. It then turns abruptly and gallops halfway back in 4.8 s. Calculate (a) its average speed and (b) its average velocity for the entire trip, using "away from the trainer" as the positive direction.
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- The position of a particle moving along the x-axis is given by x(t) = 3.0 — 1.7t m. (Assume t is in seconds.) (a) At what time (in s) does the particle cross the origin? S (b) What is the displacement (in m) of the particle between t = 3.5 s and t = 7.0 s? (Indicate the direction with the sign of your answer.) mThe position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t 3.00 s. (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number Units (f) Number Units (g) Number i Units (h) Number i Units (i) Number i UnitsWhat amount of time does it take an object to come to a stop if is initially traveling at a rate of 13.6 m/s i and it undergoes a displacement of 30.5 m in doing so?
- #2The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 2.00 m tall and that the nerve impulse travels at uniform speed.)An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?
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