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The position of an object moving in a straight line is given by x = -1.5 + 3.0t - 14t^2 + 5t^3, where x is in meters and t is in seconds. (a) What is the position of the object t = 1,...
The motion of a particle is described in the velocity vs. time graph shown in the figure. v (m/s) 5.0 4.0 3.0 2.0 1.0 2.02.0 4.0 5.0 6.0 7.0 8.0 9.0 2.0 3.0 4.0 For what time interval does the particle's direction of motion change a. Between 1 and 3 s b. Between 3 and 4 s c. Between 4...
Velocity Vs. Time 10 8 6 Velocity , v, (m/s) 0 2 4 6 8 10 12 14 -4 -6 -8 Time, t, (s) a) Determine the average velocity of the object between 4.0 and 8.0 s. Over what time interval(s), if any, is the object decelerating (slowing down)? b) At what time(s), if any, does the object remain at...
Problem 2 The graph below shows the position (x) as a function of time (t) for a particle moving in one dimension x (m) 6 5 4. 3 2 t(s) 3 4 5 6 7 8 9 10 11 12 (a) During which interval(s) of time is the particle at rest? (b) During which interval(s) of time is the particle's...
(1) Observer S (at x 0) sees a flash of red light at XR 1200 m from her position and a flash of blue light at x,-480 m on the same straight line. She measures the time interval between the flashes to be 5 us, with the blue flash occurring first (that is, ted ue 5 Hs.) What is the...
For the above particle, if at t=0s, vx=-4 m/s, what is the
velocity at t=20s?
With the same condition as in previous problem, what is the
average velocity in time interval 0 to 20 s?
Yet still for the same setting, what is the average speed in
time interval 0 to 20 s?
The answer for the average speed is...
The position of a particle as a function of time is shown in the figure. What is the particle's average velocity between time t = 0.6 s and time t = 7.2 s? What is the average speed of the particle between time t = 0.6 s and time t = 7.2 s? What is the average acceleration of the...
From the previous problem, Problem 2.17,
answer the questions below; (20=3+3+4+5+5 points)
Does the particle stop for time t between -4 s and +4
s? If it stops, when? Explain your answer.
Does this particle change direction? Explain your answer.
Describe the motion of the particle for time t between
-4 s and +4 s.
Graph v(t) versus t for...
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s)...
The more detailed solving process, the better. And hope you can
make clear handwriting. Thank you
1. Explain why the average velocity found in Example 1 is larger than the instantaneous velocity found in Example 2. (Hint: Sketch the graph of velocity as a function of time. Is the function increasing or decreasing? What does that tell you about how...