Question

In: Math

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t)...

1.The position of a particle in rectilinear motion is given by s (t) = 3sen (t) + t ^ 2 + 7. Find the speed of the particle when its acceleration is zero.

2.Approximate the area bounded by the graph of y = -x ^ 2 + x + 2, the y-axis, the x-axis, and the line x = 2.
a) Using Reimmann sums with 4 subintervals and the extreme points on the right.
b) Using Reimmann sums with 4 subintervals and the extreme points on the left.

Submit the sum of parts a) and b) in response.

Solutions

Expert Solution


Related Solutions

Let s(t)= ?? ? − ??? ? − ???? be the equation for a motion particle....
Let s(t)= ?? ? − ??? ? − ???? be the equation for a motion particle. Find: a. the function for velocity v(t). Explain. [10] b. where does the velocity equal zero? Explain. [20 ] c. the function for the acceleration of the particle [10] d. Using the example above explain the difference between average velocity and instantaneous velocity. (A Graph will be extremely helpful) [25] e. What condition of the function for the moving particle needs to be present...
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate the acceleration a(t). b) Find the distance traveled by the particle at time t = 3π/2, if the particle starts its motion at time t = π/2. c) Find the unit tangent vector of this particle at time t = 3π/2. d) Find the curvature of the path of this particle at time t = 3π/2.
A particle is moving with the given data. Find the position of the particle. a(t) =...
A particle is moving with the given data. Find the position of the particle. a(t) = 11 sin(t) + 3 cos(t), s(0) = 0, s(2π) = 18
1. A particle is moving with the given data. Find the position of the particle. a(t)=2t+7,...
1. A particle is moving with the given data. Find the position of the particle. a(t)=2t+7, s(0)=8, v(0)=-3 2.Find f f'(x)=1 sqrt(1-x2) , f(1/2)=8
A particle is moving with the given data. Find the position of the particle. v(t) =...
A particle is moving with the given data. Find the position of the particle. v(t) = sin(t) − cos(t), s(0) = 4
A particle moves according to a law of motion s = f(t), t is greater than...
A particle moves according to a law of motion s = f(t), t is greater than or equal to 0, where t is measured in seconds and ? in feet. f(t)=t^2 • e^(-t) a) fine velocity at rime t and after 1 second b) when is the particle at rest c) fine the acceleration at time t and after 1 second
The x and y coordinates of a particle in motion as functionsof time t, are given...
The x and y coordinates of a particle in motion as functionsof time t, are given by: x=5t^2-5t+6 y=3t^3-3t^2-12t-4 At the instant the x-component of velocity is equal to zero,the y component of the acceleration is closest to: A. 12 B. -24 C. -15 D. -1.5 E. 3.0
s(t)= 5t + 3/t^2  be the position in feet of a particle after t seconds for t...
s(t)= 5t + 3/t^2  be the position in feet of a particle after t seconds for t ≥ 1. (a) Compute the average velocity from t = 1 to t = 3. Include units in your answer (b) Where is the velocity = 0? (c) Show the accelaration for t ≥ 1 is positive. (d) What are the units for the acceleration?
The position of a particle moving along a line (measured in meters) is s(t) where t...
The position of a particle moving along a line (measured in meters) is s(t) where t is measured in seconds. Answer all parts, include units in your answers. s(t)=2t^3 +6t^2 −48t+7 −10<t<10 (a) Find the velocity function. (b) Find all times at which the particle is at rest. (c) On what interval is the particle moving to the right? (d) Is the particle slowing down or speeding up at t = −1 seconds?
The position of a particle moving along the x-axis is given by x(t) = t^3 +...
The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle. (b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.) (c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.) When is the particle moving to the right (velocity is positive)? (Enter your...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT