Question 4 An object has the velocity vector function v(t) (5, 4e4t, 6t + 2) 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 =...
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.
(10 pts) The acceleration of an object is given by the vector function at) = (2,6t, 6). The initial velocity of the object is v(0) = (0,1,2) and the initial position of the object is r(0) = (0,0,5). (a) Find v(t). (b) Find the position of the object at time t = 1. Simplify your answer completely.
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 velocity of an object is given as a function of time by v=8t+6t^2-16t^3. v is in m/s and time is in sec. Its average velocity over the time interval from t=0 to t=3?
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...
The position vector r describes the path of an object moving in space. Position Vector r(t) = (cos(t), sin(t), 3t) t = 1 Time (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. a(T) = Submit Answer
Suppose that an object's acceleration function is given by a(t) = 8 +5. The object's initial velocity, v(O), is 5, and the object's initial position, s(0), is 7. Find (1) + 5t + OA / SP +74+5 OC. 4t? + 5t+5 OD. 4 5 + +5 +7 Click to select your arswer Test of Use Privac Pollo Copyright 2020 Pearson Education the Rights Reserve
Find the velocity function and position function of an object moving along a straight line with the acceleration a(t) = et initial velocity v(0) = 60 and initial position (0) = 40. 3
An object's velocity as a function of time is shown in the plot below. The object begins at position s = 10 m at t = 0 s. What is the object's total displacement at t = 7 s? What is the object's position at t = 7 s? What is the total distance the object Innis moved between t = 0 and t = 7 s. What is the acceleration of this object at t = 1, 3, 5...