An equation of motion is given, where s is in meters and t in seconds. Find...

An equation of motion is given, where s is in meters and t in seconds. Find (a) the times at which the acceleration is zero, and (b) the velocity at these times. t^4-10t^3+36t^2+2

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milcah answered 2 years ago

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t)...

An object’s position above the ground, s(t), in meters, after t seconds is given by s(t) = 16t2+120t+6. (a) What is the position of the object at time t = 3 seconds? ( b) Find the velocity of the object as a function of t. (c) Find the object’s acceleration at any time t. (d) When is the velocity of the object 56 m/s? (e) Find the position of the object at the time when the velocity is 56 m/s....

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 projectile motion equation is s(t)=-16t^2+vt+h where s(t) represents the distance or height of an object...

The projectile motion equation is s(t)=-16t^2+vt+h where s(t) represents the distance or height of an object at time t, v represents the initial speed of the object in ft/s, and h is the initial height of the object, measured in feet. If an object is starting at rest, then v=0 (such as for a penny being dropped from a building). If the object is starting from the ground, h=0. The baseball or cannonball situations, each have an initial velocity. For...

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?

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...

The position of a point on a line is given by the equation(t)= t3-6t2+9t-4, where s...

The position of a point on a line is given by the equation(t)= t3-6t2+9t-4, where s is measured in metres and t in seconds. What is the velocity of the point after 2 seconds? What is its acceleration after 4 seconds? Where is it when is first stops moving? How far has it travelled when its acceleration is 0?

The displacement of an object in simple harmonic motion is described by the equation 0.40m*sin(8.9rad/s(t)) +...

The displacement of an object in simple harmonic motion is described by the equation 0.40m*sin(8.9rad/s(t)) + 0.61m*cos(8.9rad/s(t)). A) Determine the position and velocity when t = 0 seconds. B) Determine the maximum displacement of the system. C) Determine the maximum acceleration of the system. D) Determine the velocity of the system at t = 6 seconds.

The acceleration of a bus is given by a(t) = at, where a =1.2m/s^3. a) If...

The acceleration of a bus is given by a(t) = at, where a =1.2m/s^3. a) If the bus's velocity at time t = 1.0s is 5.0m/s, what is its velocity at time t = 2.0s ? b) If the bus's position at time t= 1.0s is 6.0m, what is its position at time t = 2.0s? c) Sketch ay -t, vy -t, and x -t graphs for the motion.

Let {W(t),t≥0} be a standard Brownian motion and let M(t)=max0≤s≤tW(s). Find P(M(9)≥3).

PD control 1. The equation of motion for the DC motor are given by the equation:...

PD control 1. The equation of motion for the DC motor are given by the equation: J ¨?m + (B + KbKT Ra ) ? ?m = KT Ra Va (2) where: J = 0.01kg · m2 , B = 0.001N · m · s, KT = 0.02N · m/A, Kb = 0.02V /s and Ra = 10?. (a) Suppose that feedback is added to the system to achieve position control of the motor shaft. Given a desired shaft position...

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