6.1.35 Find the position and velocity of an object moving along a straight line with 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.)
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.)
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
Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. v(t) = -1-2cos for Osts (0) = 0 (**). a. Over the given interval,...
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...
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)
4. In Chapter 1, we showed that for an object moving along a straight line with position function s(t), the object's "average velocity on the interval [a, b is given by s(b) s(a) More recently, in Chapter 4, we found that for an object moving along a straight line with velocity v(t), the object's “average value of its velocity function on [a, bl" is v(t)dt Are the 'average velocity on the interval a, b" and the "average value of its...
(ii)(a) An object is moving with constant acceleration in 1D (along a straight line), what is its position x(t) as a function of time, given its initial position xo, initial velocity vo and acceleration a? (b) How do you derive its velocity as a function of time from x(t)? (c) Why is the funciton of x(t) the key for predicting eclipses and hurricanes?
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.