11. An Object moving with uniform acceleration has a velocity of 1.2 m/s when x=3cm. What...
An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 3.06 cm. If its x-coordinate 3.05 s later is −5.00 cm, what is its acceleration?
2) If the Energy of a mass on a vibrating spring is represented by E= k V t, where "V" is the volume of the mass on the spring, and "t" is for time. What units must the constant "K” have in order for the equation to be dimensionally correct.
Find an expression for the velocity function, v(t), of an object moving in a straight line if the object's acceleration function is 7 sin(t) +0.06 and the object's initial velocity is 155 ft/s. Then use your function to determine the object's velocity after 28 seconds.
An object moving in the *x direction experience an acceleration of *2.0 m/s^2- This mean the object is increasing its velocity by 2.0 m/s every second. travels 2.0 m In every second. is traveling at 2.0 m/s. is decreasing its velocity by 2.0 m/s every second. Suppose that an object is moving with a constant velocity. Which statement concerning Its acceleration must be correct? The acceleration is constantly increasing. The acceleration is a constant non-zero value. The acceleration is constantly...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
Find magnitude of velocity and acceleration at t=1 Part A Learning Goal To be able to calculate position, velocity, and acceleration of an object in curvilinear motion using a rectangular coordinate system. A car drives on a curved road that goes down a hill. The car's position is defined by the position vector An object's motion can be described along a path represented by a fixed x, y, z coordinate system. In such a system, the position vector, r, is...
Differential Equation problem A mass of 0.25kg stretches a spring 0.1m. The mass is in a medium that exerts a viscous resistance of 14N when the mass has a velocity of 4m/s. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.08m and released. Find a function u(t) to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and...
The kinetic energy, KE, for an object of mass m, moving at velocity v is represented with the equation KE is equal to (1/2)(mass)(velocity)^2 Write the kinetic energy equation using a mathematical equation. Include: • The symbols for mass and velocity. • The Math Equation Function to write 1/2 in the fraction format. • Use the superscript format to write (velocity)^2.
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 =...
A 1.2 kg object on a vertical spring with k+ 500 N/m is compressed from its equilibrium position. Once it is released, the mass is seen to have a velocity of 1.4 m/s at a position of 0.1 m from the equilibrium. a.) Determine the equation for this oscillation. b.) What is the maximum speed? c.) What is the maximum acceleration? d.) At what position from the equilibrium does the potential energy equal the kinetic energy?