A graph of 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. x (m) 10 8 6 4 1 2 3 4 5 6 7/8 (d) 4.00 s to 7.00 s m/s (e) 0 to 8.00 s
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x (m)
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8
1000049
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1 2 3 4 5 6 7/8
(d) 4.00 s to 7.00 s
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(e) 0 to 8.00 s
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- A particle moves in one dimension, and its position as a function of time is given by x = (2.1 m/s)t + (−3.0 m/s2)t2. (a) What is the particle's average velocity from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.)(b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.)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.) mA cart is given an initial velocity of 8.3 m/s and experiences a constant acceleration of 3.3 m/s?. What is the magnitude of the cart's displacement during the first 7 s of its motion?
- On a plot of position x versus time t for an object's motion, what corresponds to the object's average velocity between instant ti and instant t2? A) intercept of the plot on the vertical axis (B) slope of a line connecting the corresponding points on the plot (c) inverse of the slope of a line connecting the corresponding points on the plot D) intercept of the plot on the horizontal axisThe position of an object is given as a function of time as x(t) = (-3.00 m/s)t + (1.00 m/s2)t2. What is the average speed of the object between t = 0.00 s and t = 2.50 s?An object travels 146 m due east when it turns around and returns to its starting position. The entire trip takes 69.0 seconds. a) What is the magnitude of the displacement of the object? 73.0 m 146 m 292 m 0 m b) What is the magnitude of the average velocity of the object? 2.12 m/s 0 m/s 1.06 m/s 4.23 m/s
- A graph of 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. x (m) 6 M 4 2 0 t(s) 1 2 3 4 5 6 7 8 -2 10 8 (a) 0 to 2.00 s (b) 0 to 4.00 s m/s m/s (c) 2.00 s to 4.00 s m/s (e) 0 to 8.00 s (d) 4.00 s to 7.00 s m/s m/sIf a particle increases in speed at a constant rate as it moves in the positive direction along an x axis, which of the following describes a plot of its velocity versus time? O plot has constant positive slope plot has constant negative slope O plot has zero slopeWhat is the displacement of the runner, whose velocity versus time graph is shown in the Figure, in the first 14.5 s?What is the average velocity of the runner during the 16 s time interval shown in the Figure? What is the average instantaneous speed of the runner during this 16 s time interval?
- (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. RA particle moves in one dimension, and its position as a function of time is given by x (2.0 m/s)t + (-3.6 m/s²)e². (a) What is the particle's average velocity from t 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) m/s (b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s MacBook Air 888 F1 F2 F3 F4 F5 F6 @ #3 $4 3 4 Q W E R T GOn the x-axis, a particle is accelerated from 6m and from 4m/s to 8m/s for a total time of 3 seconds, t = 3 seconds a. Find its final position, its displacement at t= 3 seconds b. Determine its final velocity and the distance traveled at t = 8 seconds.