The momentum p of a moving object as a function of time t is given by...
2) An object is moving with harmonic motion that can be modeled by using P(1)-24 si n- answer the following questions. (Is this function a continuous function on it where P(t) is in feet and t is in seconds. Use this model to 4 domain?) a) What is the Period of this object? Se0 b) What is the Amplitude of this motion? And explain what that means? c) Suppose instead that the glue on Bob's charges at 12 o'clock and...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
[4.] A point object with mass M is subject to a net force changing with time according to: F = ai – Btj with a and ß positive and constant. The object starts at t = 0 at rest and at the origin. a) Find the position of the object as a function of time (F(t)). b) Find the work done by the force between t = 0 and t = to. c) Find the linear momentum of the object...
The motion of an object moving in simple harmonic motion is given by x(t) = (0.1 m) [cos (ot) + sin (ot)] where o = 31. (a) Determine the velocity and acceleration equations. (b) Determine the position, velocity, and acceleration at time t = 2.4 s.
The acceleration of an object as a function of time is given by a(t) = (1, 69 m/s^3)t, where t is in seconds. If the object is at rest at time t = 0 s, what is the velocity of the object at time t = 5, 5 s? Answer with three significant digits.
The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). 3x d=2 cos (a) Describe the motion of the object. Is the motion simple harmonic? -bt O A. Yes, because the given equation is not in the form of d(t)-ae 2m COS 4m B. Yes, because the given equation is in the form of d-a cos (ost). O c. No, because the given equation is not...
3. (25 points) A small object of mass m slides around in a horizontal, frictionless, circular tube of radius R. The object is given an initial velocity vo at the point shown. At somc later timc, defined to be t = 0, some strange force starts to act on the object The force is always directed opposite to the object's velocity and has known constant magnitude c as long as the object is moving. Consider only the time while the...
The motion of an object moving in simple harmonic motion is given by x(t)=(0.1m)[cos(omega*t)+sin(omega*t)] where omega= 3Pi. A) Determine the velocity and acceleration equations. B) Determine the position, velocity, and acceleration at time t= 2.4 seconds.
Object A has a position as a function of time given by r A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by rB(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 3.00 s?
Object A has a position as a function of time given by r⃗ A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by r⃗ B(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 4.00 s?