Solve the problem. Given the acceleration, initial velocity, and initial position of a body moving along...
ds Given the velocity v= dt and initial position of a body moving along a coordinate line, find the body's position at timet v = sin(xt) s(2)= 0 The body's position at time tiss - (Type an exact answer)
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,...
S The function s = 12 - 91? + 27t, Osts 4, gives the position of a body moving on a coordinate line, with sin meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? 3.4.7 At time t, the position of a body moving along the...
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) = -0.01, v(0) = 4, and s(0) = 0 v(t) =D (Round to four decimal places as needed.) s(t)= (Round to four decimal places as needed.)
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= -0.06, V(0) = 3, and s(0) = 0 v(t) = (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)
6.1.35 Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= cos xt, v(0) = 4, s(0) = 1 The velocity is v(t)- Type an exact answer.)
o Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position a(t) = -0.06t, v(0) = 6, and s(0) = 0 v(t)=0 (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)
5) The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. (3 points) a(t) = 5t + 2, v(0) = 6, Osts 4 a) Find the velocity at time t. b) Find the distance traveled during the given time interval. 2) Let F(x) = set? dt. Find an equation of the tangent line to the curve y = F(x) at the point with X-coordinate 2. (2 points)
.4.5 프 Assigned Media A body moves on a coordinate line such that it has a position s fon the interval 1sts2 with s in meters and t in seconds. a position s f) on the interval a Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction? .4.5 프 Assigned Media A...
The acceleration function (in m/s2) and the initial velocity v(o) are given for a particle moving along a line. a(t) = 2t + 2, VO) = -15, Osts 5 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval.