Find the position function so given the acceleration function and an initial value.
a(t) = 12 - t, v(0) = 9, s(0) = 0
s(t) = _______
Find the position function so given the acceleration function and an initial value.
Find the position function x(t) of a moving particle with the given acceleration a(t), initial position Xo = x(0), and initial velocity vo = v(O). a(t) = 4(t+3)2, v(0) = - 4, x(0) = 2
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (2+, 4 sin(t), cos(5t)) v(0) = (-3, -5,0) 7(0) = (-5,2, - 1) F(t)
* A particle is moving with acceleration function a(t) = 21-1, find the position of the object where the initial velocity is v(O)=2 and the initial position is s(0)=1. a. -3 -2 +21 b.sin(2x) OC 12 +2 Od. - *+21+1 Oe 12-*+2+1
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed- Find the position vector for...
Solve the problem. Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a = 18, (0) - 9, (O) = 4 O s.92.9t+4 O S-1812.9+4 Os=912 9 + 4 O s.92.91
The acceleration of particle is given as a function of velocity, a(v), find the position as a function of velocity, v(s)
The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. a(t) t 4 5, 0sts 10 v(0) (a) Find the velocity at time t. 2 4t5 2 v(t) m/s (b) Find the distance traveled during the given time interval. 416.6 Need Help? Talk to a Tutor Read It Watch It The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. a(t) t 4 5,...
(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) - 13ti + etj + e-t, V(0) - k, r(0) = 1 + k r(t) -
(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.
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