Assume that the particle is travelling along a straight line.
Q3.
At time position of particle is . At time position of particle is
Average velocity of particle between and is
Q4.
Average speed of particle between and is
Q5.
At time instantaneous velocity of particle is . At time velocity of particle is
Average acceleration of particle between and is
The position of a particle as a function of time is shown in the figure. What...
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 position of a particle as a function of time is given by r(t)=(-3.0m/s)ti +(6.0m)j+[ 7.0m-(4.0m/s^3)t^3]k a. what is the particle's displacement between t1=0 and t2=2.0s? b. determine the particle's instantaneous velocity as a function of time. c. what is the particle's average velocity between t1=0s and t2=2.0s? d. Is there a time when the particle has a velocity of zero? e. Determine the particle's instantaneous acceleration as a function of time? Can you please explain the formulas you used...
The position of a particle in space at time is r(t) as shown below. Find the particle's velocity and acceleration vectors. Then find the particle's speed and direction of motion alt=1 (0 (4 in (t+1) The particle's velocity is 1.3k Clype exact answers, using radicals as needed.) The particle's acceleration is +3.0k (Type exact answers, using radicals as needed) The particle's speed at t=1s (Type an exact answer, using radicals as needed) The particle's direction at t=1s (+0+* (Type exact...
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 6.0 m/s. (a) what is the coordinate of the particle at t = 5.0 s? (b) what is the velocity of the particle at t = 5.0 s? (c) what is the acceleration of the particle...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
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...
#21 west3-G Mector Kinematics 17. (1) The position of a particular particle as a function of time 18. (7 What was the average velocity of the particle in Problem 17 19. (I1) What is the shape of the path of the particle of 20. (II) A car is moving with speed 18.0 m/s due south at one is given by (9.6011+ 8.85-1.0012 k) m. Determine the particle's velocity and acceleration as a function of time between t 1.00s and t...
A position-time graph for a particle moving along the x axis is shown in the figure below.(a) Find the average velocity in the time interval t = 1.00 s to t = 4.00 s. (Indicate the direction with the sign of your answer.) (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph touches the curve. Indicate the direction with the sign of your answer.)(c) At what value of...
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 ?
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...