The position of a particle in meters is given by x=2.5t+3.1t^2- 4.5t^3, where t is the...
The position of a particle in meters is given by x=2.5t+3.1t^2- 4.5t^3, where t is the time in seconds. What are the instantaneous velocity and instantaneous acceleration at t=0.0 s? At t=2.0 s? What are the average velocity and average acceleration for the time interval 0 <t< 2.0 s?
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The position of a particle in meters is given by x=2.5t+3.1t^2- 4.5t^3, where t is the...
40. The position of a particle in meters is given by x 2.5t+ 3, where tis...
40. The position of a particle in meters is given by x 2.5t+ 3, where tis the time in seconds. What are the 3.1-45, where tis the time in seconds. Wh instantaneous velocity and instantaneous acceleration at /- 0.0 s? Att 2.0 s? What are the average velocity and average acceleration for the time interval 0 sts 2.0 s
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t...
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 +...
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...
Given position x = 2t + 5t2 (where x is in meters and t is in...
Given position x = 2t + 5t2 (where x is in meters and t is in seconds): A. Calculate the average velocity over the time interval t = 1 s to t = 4 s. Units: m.s-1 B. What is the instantaneous velocity at t = 4 s? Units: m.s-1 C. What is the acceleration of the object? Units: m.s-2 D. In which direction is the object accelerating?
The position of a particle is given by x=-41+2+2 where x is in meters and t...
The position of a particle is given by x=-41+2+2 where x is in meters and t in seconds. a) Find the time when the particle velocity is cero. 6) At that time what is the position?
The position of a particle moving along an x axis is given by x = 14.0t^2...
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
The position of a particle on the x-axis is given by x (7) = 2t ^...
The position of a particle on the x-axis is given by x (7) = 2t ^ 2 + t-5 where x is in meters and t in seconds. The average speed in the time interval of t = 2.0 s at t = 3.0 s is
The position of a particle moving along an x axis is given by x = 12....
The position of a particle moving along an x axis is given by x = 12. t2 2.00t3 where x is in meters and t is in seconds. Determine a) the position, b the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...
The position of a particle moving along an x axis is given by x = 13.0t2...
The position of a particle moving along an x axis is given by x = 13.0t2 - 3.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 6.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...
Suppose that the position vector of a particle is given by the following function of time:...
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
40. The position of a particle in meters is given by x 2.5t+ 3, where tis the time in seconds. What are the 3.1-45, where tis the time in seconds. Wh instantaneous velocity and instantaneous acceleration at /- 0.0 s? Att 2.0 s? What are the average velocity and average acceleration for the time interval 0 sts 2.0 s
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
The position of a particle is given by x=-41+2+2 where x is in meters and t in seconds. a) Find the time when the particle velocity is cero. 6) At that time what is the position?
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
The position of a particle moving along an x axis is given by x = 12. t2 2.00t3 where x is in meters and t is in seconds. Determine a) the position, b the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...
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