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1. A particle is moving with acceleration a(t) = 121? +61 + 2, where t is...
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...
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 functions = 1 - 61? + 121, Osts 3. gives the position of a body...
The functions = 1 - 61? + 121, Osts 3. gives the position of a body moving on a coordinate line with sin meters and in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction? a. What is the body's displacement for the given time interval? m (Simplify your answer.)
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn,...
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn, where a is in m/s' and s is the distance of the point from the origin in meters. When the time t is 2 seconds, the point is 16m to the right of the origin and has a velocity of 32m/s to the right and an acceleration of 48m/s to the right. Determine: a) the velocity and acceleration of the particle when time is...
Q1 The position of a particle moving along an x axis is given by x =...
Q1 The position of a particle moving along an x axis is given by x = 1242 – 213, 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 = 3 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (1+2+1+1+1]
Need both answered please! 1. A particle moves with acceleration function a(t) = 8t + 5....
Need both answered please!
1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
the position of a particle moving along an x axis is given by x= 15t^2-5t^3, where...
the position of a particle moving along an x axis is given by x= 15t^2-5t^3, 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= 7.00s d) what is the maximum positive coordinate reached by the particle
The position of a particle moving along an x axis is given by x = 12t^2...
The position of a particle moving along an x axis is given by x = 12t^2 -2t^3, 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 = 3.0s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached?
* A particle is moving with acceleration function a(t) = 21-1, find the position of the...
* A particle is moving with acceleration function a(t) = 21-1, find the position of the object where the initial velocity is v(O)=2 and the initial position is s(0)=1. a. -3 -2 +21 b.sin(2x) OC 12 +2 Od. - *+21+1 Oe 12-*+2+1
A particle moves with position given by s(t) = t 1 with t > 0. +...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
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 functions = 1 - 61? + 121, Osts 3. gives the position of a body moving on a coordinate line with sin meters and in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction? a. What is the body's displacement for the given time interval? m (Simplify your answer.)
2) The magnitude of the acceleration of an object moving in rectilinear motion is a=12 sn, where a is in m/s' and s is the distance of the point from the origin in meters. When the time t is 2 seconds, the point is 16m to the right of the origin and has a velocity of 32m/s to the right and an acceleration of 48m/s to the right. Determine: a) the velocity and acceleration of the particle when time is...
Q1 The position of a particle moving along an x axis is given by x = 1242 – 213, 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 = 3 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (1+2+1+1+1]
Need both answered please!
1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
The position of a particle moving along an x axis is given by x = 12t^2 -2t^3, 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 = 3.0s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached?
* A particle is moving with acceleration function a(t) = 21-1, find the position of the object where the initial velocity is v(O)=2 and the initial position is s(0)=1. a. -3 -2 +21 b.sin(2x) OC 12 +2 Od. - *+21+1 Oe 12-*+2+1
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
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