please explain in depth 5 Figure 2-20 gives the velocity of a particle moving along an...
The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 16.0 m/s2. At t = -2.0 s, the particle's velocity is 8.00 m/s. What is its velocity at t = 6.0 s? A graph has a vertical axis labeled a sub s and a horizontal axis labeled t of s. The variable a is presented in meters per second squared. A line passes through (0,...
At which of the six number points does the particle have no (zero) acceleration? At which of the six number points does the particle have the greatest displacement if it started from x = 0 at t = 0? At which of the six number points does the particle have the smallest displacement if it started from x = 0 at t = 0? If the particle started from x = 0 at t = 0, is its postion, x...
5) The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. (3 points) a(t) = 5t + 2, v(0) = 6, Osts 4 a) Find the velocity at time t. b) Find the distance traveled during the given time interval. 2) Let F(x) = set? dt. Find an equation of the tangent line to the curve y = F(x) at the point with X-coordinate 2. (2 points)
The figure below gives the acceleration of a 1.75 kg parade as it is moved from rest along an x axis by an applied force F_a, from x = 0 to x = 9 m. The scale of the figure's vertical axis is set by a_S = 5.5 m/s^2. How much work has the force done on the particle when the particle reaches the following points? x = 5 m x = 8 m x = 9 m What is...
The velocity of a particle moving along x-axis is given by v(t) = 4 alpha middot t^2 - beta middot t in m/s. (a) Find the units of measurement of the known constants alpha and beta. (b) Find the average acceleration of the particle during its first 5 s of its motion. (c) When does the particle stop momentarily? (d) How far is the particle from the origin at that instant, if x(t = 0) = 0? (e) Find the...
7. [2 points] A particle is moving at a constant speed in a circular path centered at the origin on an xy coordinate system. At one point (x=4m, y=0), the particle has a velocity of 5ġ m/s. a. State whether the particle is moving clockwise or counter-clockwise on the circular track. b. What is the constant speed of the particle throughout its circular trajectory? c. What is the acceleration (expressed as a vector) of the particle when it is at...
A position-time graph for a particle moving along the x axis is shown in the figure below x (m) 12 10 8 6 t (s) 02 3 4 5 6 (a) Find the average velocity in the time intervalt2.00s tot-4.00s. (Indicate the direction with the sign of your answer) m/s (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (Note that t Indicate the direction with the...
24&25 please The figure below shows the potential energy function U (r)for a particle moving along an axis labeled by the coordinate r. Values for energy and distance are in joules (j) millimeters (mm), respectively. The total energy of this particle is E = -4 J. Initially, the particle is at r = 1 mm and moving to the right (direction of increasing r) Which of the following statements best describes the subsequent motion of this particle? a. The particle...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
chap08-P12 Please write the answer neatly for a thumps up, thank you! The figure gives the acceleration of a 3.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The scale of the figure's vertical axis is set by as = 8.0 m/s2. How much work has the force done on the particle when the particle reaches (a) x = 4.0 m, (b) x = 7.0...