a) Partical is at rest at the two intervals.
i) 0-4.5 sec and ii) 10-11 sec
since position is not changing both the times
b) velocity is negative at 4.5 sec to 8 sec because slope is negative
c) particle is decelerating from 4.5 sec to 8 sec since velocity is decreasing continuously .
d) velocity at t= 12s
v= slope of line = 5-3/12-11=2/1
=2m/s
e) velocity at t=8 is zero as slope is zero
Problem 2 The graph below shows the position (x) as a function of time (t) for...
A particle's position on the x-axis is given by the function (3t-4t+1) m a) Make a position-versus time graph for the interval 0< t <5 (time is measured in seconds) b) Determine the particle's velocity at t = 2 s c) Are there any turning points in the particle's motion? If so, in what position or positions? d) Where is the particle when Vx=8 m/s? e) Draw the velocity-versus time graph for the interval 0< t <5 (time is measured...
The figure shows a velocity vs time graph for a particle moving in one dimension along the x-axis. Its initial position is zo = 2.0 m at t = 0 s 4 a) What are the particle's position, velocity, and acceleration at t 1.0 s? m/s, az- m/s b) What are the particle's position, velocity, and acceleration at t 3.0 s? m's, a m/s
A particle poves along the x-axis. It's position as a function of time is given by z (t) =-31+ 2e-翅 The following questions refer to that situation. Only consider times t greater than or equal to zero (no negative values of t). Note Some of the questions ask about the maximum velocity attained, or the maximum x coordinate, etc. Hint: use calculus! A very important application of the derivative is finding the maxima and minima of functions 1 pts D...
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...
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...
|| A particle’s position on the x-axis is given by the function x = (t 2 - 4t + 2) m, where t is in s. a. Make a position-versus-time graph for the interval 0 s … t … 5 s. Do this by calculating and plotting x every 0.5 s from 0 s to 5 s, then drawing a smooth curve through the points. b. Determine the particle’s velocity at t = 1.0 s by drawing the tangent line...
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 m at t0 = 0 s. (Figure 1) Part A What is the particle's position at t = 1.0 s ? Part B What is the particle's velocity at t = 1.0s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0s? Part E What is the particle's velocity at t = 3.0s? Part...
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 2.3 m at t0 = 0 s.(Figure 1) You may want to review (Pages 44 - 48) . Part B What is the particle's velocity at t = 1.0 s? Part C What is the particle's acceleration at t = 1.0 s?Part DWhat is the particle's position at t =3.0s ?Express your answer to three significant figures and include the appropriate units.x=?Part EWhat is the particle's velocity...
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.0 m at t0 =0s Part A What is the particle's position at t = 1.0 s? Part B What is the particle's velocity at t = 1.0 s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0 s ?
Q2-b: A particle position s = 0 m at time t = 0s, then after 2 seconds i.e. at t = 2 s the particle position was at s = 3 m, then after 4 seconds i.e. at t = 6 s the particle position was at s = -1 m. Find the particle average velocity and average speed during the 6 seconds time interval.