A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose graph is shown in the figure below. Find the total distance traveled by the particle on the interval 0 ≤ t ≤ 18. ∞ 7 9 5 4 3 2 1 -2 -1 -1 -2 -3 ာ း မှာ မှ ထု -4 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 x

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.)

(1) 1.24 1.0+ 0.84 0.6+ 0.4+ 0.2+ 0 0.2 0.4 0.6 0.8 1.0 (A) B A particle moves along the x-axis so that its acceleration a (t) is given by the graph above for all values of t where 0 ≤ t ≤ 1. At time t = 0, the velocity of the particle is. Which of the following statements must be true? D BAM! (E The particle passes through x = 0 for some t between t = 0 and t = 1. The velocity of the particle is 0 for some t between t = 0 and t = 1. The velocity of the particle is negative for all values of t between t = 0 and t = 1. The velocity of the particle is positive for all values of t between t = 0 and t = 1. *** The velocity of the particle is less than for all values of tbetween t = 0 and t = 1. R

The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 4 t (s) 1 2 3 4 5 6 7 8 -2 -4 -6 (a) 0 to 2 S m/s (b) 0 to 3 s m/s (c) 3 to 6 s m/s

15 25 30 35 50 60 (sec) v(1) (f/sec) -20 -30 -20 -14 -10 10 a(t) 2 2. 4 (1/sec") A car travels on a straight track. During the time interval 0sts 60 seconds, the car's velocity v, measured in feet per second, and acceleration a, measured in feet per second per second, are continuous functions. The table above shows selected values of these functions. а, For 0

A particle moves along the x-axis so that its position at time 0