PART THREE Mutipart, " by, ete)- (6+ 7,+8') object a) (a point) Find the average acceleration...
5. (15 pts] A force acting on an object is proportional to the square root of the distance the object moves. The equation for the distance r is: 19 = kyr, for some constant k. The object starts at t=0 with position r = 0 and velocity v = 0. The object moves four meters in the first second. That is, r(t = 1) = 4. (a) Find the object's velocity as a function of position, v(r). (b) Find the...
The figure shows the velocity of an object moving along a straight line as a function of time. Determine: a) The displacement of the object for the first 9 secondsb) The object's average velocity from t = 0 s tot=9 s.c) The object's average acceleration from t = 0 tot = 5 seconds.c) The acceleration of the object at t =8 seconds.
I have three questions I need assistance on please: 1. To make an object start moving on a surface with friction requires (a) less force than it takes to keep it moving on the surface at constant velocity (b) the same force as to keep it moving on the surface at constant velocity (c) more force than it takes to keep it moving on the surface at constant velocity (d) a force equal to the weight of the object (2)...
The position ?, in meters, of an object moving along the ?-axis is given as a function of time ?, in seconds, as ?(?)=0.0971?^4−0.273?^3+0.809?^2+2.83?−9.77 Find the object's acceleration at time ?=2.75 s.
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...
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...
6) A 3 kg object is measured to move with velocity and acceleration given by the formulas 6 v(t) = A + Br, alt) = 3Br?, where the constants A = 7 m/s, and B = 0.5 m/s (a) What is the net force acting on the object as a function of the time variable ? ssign is b. (b) What is the instantaneous power exerted on the object as a function of 1? (c) What is the total work...
An object traveling in 3-D space has the following location with respect to time about the origin of our cartesian coordinate system (r and its components are in meters, and ime is in seconds): r(t) = -3.10t i - 4.10t2 j + 0.75 k a. What is the magnitude of the object's location from the origin at t = 2.75 s? b. What is the instantaneous velocity vector for this object at t = 3.25 s? c. What is the...
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.
The time rate of change of acceleration is known as/erk J·, Assume that an object has constant jerk. Derive the equation for (a) its acceleration, (b) its velocity, and (c) its position as a function of time using integration. (d) Find the time-independent kinematic equation for the object's final acceleration as a function of its initial acceleration, initial velocity, final velocity and jerk 8.