Suppose that the equation of motion for a particle (where ss is in meters and tt...
Suppose that the equation of motion for a particle (where ss is in meters and tt in seconds) is:
s=(1/3)t^3−3t^2+9t+7
Velocity at time tt =
Acceleration at time tt =
Acceleration after 1 second:
acceleration at the instant when the velocity is 0.
Homework Answers
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Suppose that the equation of motion for a particle (where ss is
in meters and tt...
Solve please (2 points) Suppose that the equation of motion for a particle (where s is...
Solve please
(2 points) Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is s = 3t3 - 8t (a) Find the velocity and acceleration as functions of t. Velocity at time t = Acceleration at time t = (b) Find the acceleration after 1 second. Acceleration after 1 second: (C) Find the acceleration at the instant when the velocity is 0. Acceleration:
Not sure if these are right 2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2)...
Not
sure if these are right
2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2) (3) When is the particle moving in a positive direction? b) vct) -124+30 Ct-1 Ct d-9-12t t3t2 ve) c) Draw a diagram to show the motion of the particle with respect to a distance axis, Indicate key time values Determine...
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 acceleration of a particle is given by a = 7t-14, where a is in meters...
The acceleration of a particle is given by a = 7t-14, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t-0 is S0 -4 m, and the initial velocity is Vo 6 m/s. Once you have determined the functions of time, answer the questions Questions: when t = 5.8 s, v= m/s m/s?
9. The position of a particle at time t is given by s(t) meters, where s(t)...
9. The position of a particle at time t is given by s(t) meters, where s(t) = 2t2 – 3t + 1 What is the average velocity for time between 1 second and 3 seconds? (A) 4 m/sec (B) 5 m/sec (C) 10 m/sec (D) 1 m/sec (E) 9 m/sec
A particle moves along the x axis according to the equation x = 1.91 2.99t-1.00e, where...
A particle moves along the x axis according to the equation x = 1.91 2.99t-1.00e, where x is in meters and t is in seconds. (a) Find the position of the particle at t 2.90 s (b) Find its velocity at t- 2.90 s m/s (c) Find its acceleration at t 2.90s m/s? My Note (a) Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing...
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?
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...
Use Python to solve each problem. 2. A particle moves according to a law of motion...
Use Python to solve each problem. 2. A particle moves according to a law of motion s = t 3 − 12t 2 + 24t, t ≥ 0. a) Find the velocity at time t. b) What is the velocity after 1 second? c) When is the particle at rest? d) Sketch the position function on t ∈ [0, 6] to determine when the particle is moving in the positive direction on that interval. e) Find the total distance traveled...
f(t), where s is measured in meters and t in seconds. Find the velocity and speed...
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s speed m/s
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s...
Solve please
(2 points) Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is s = 3t3 - 8t (a) Find the velocity and acceleration as functions of t. Velocity at time t = Acceleration at time t = (b) Find the acceleration after 1 second. Acceleration after 1 second: (C) Find the acceleration at the instant when the velocity is 0. Acceleration:
Not
sure if these are right
2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2) (3) When is the particle moving in a positive direction? b) vct) -124+30 Ct-1 Ct d-9-12t t3t2 ve) c) Draw a diagram to show the motion of the particle with respect to a distance axis, Indicate key time values Determine...
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 acceleration of a particle is given by a = 7t-14, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t-0 is S0 -4 m, and the initial velocity is Vo 6 m/s. Once you have determined the functions of time, answer the questions Questions: when t = 5.8 s, v= m/s m/s?
9. The position of a particle at time t is given by s(t) meters, where s(t) = 2t2 – 3t + 1 What is the average velocity for time between 1 second and 3 seconds? (A) 4 m/sec (B) 5 m/sec (C) 10 m/sec (D) 1 m/sec (E) 9 m/sec
A particle moves along the x axis according to the equation x = 1.91 2.99t-1.00e, where x is in meters and t is in seconds. (a) Find the position of the particle at t 2.90 s (b) Find its velocity at t- 2.90 s m/s (c) Find its acceleration at t 2.90s m/s? My Note (a) Can the velocity of an object at an instant of time be greater in magnitude than the average velocity over a time interval containing...
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...
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s speed m/s
f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3 A particle moves along a straight line with equation of motion s f(t) = 8030t - 4.5t2 velocity m/s...
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