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...
Consider an object moving along a line with the following velocity and initial position. v(t) = 9 -12 on [0, 4); $(0) = -1 Determine the position function for t20 using both the antiderivative method and the Fundamental Theorem of Calculus. Check for agreement between the two methods. To determine the position function for t20 using the antiderivative method, first determine how the velocity function and the position function are related. Choose the correct answer below. O A. The position...
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.)
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.)
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.)
4. The following graph represents the position of an object, moving along a horizontal line as a function of time. The positive direction is East and negative direction is West. Express all answers to two significant figures. (5 marks) Position Vs. Time 15 10 6 8 10 12 14 16 18 -10 -15 Time, t, (s) a) Over what time interval(s), if any, is the object stopped? b) At what time(s), if any, does the object change direction? c) Determine...
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.)
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...
(10 pts) Suppose an object moves along a line with velocity v(t) = 3+- 18t +24, for 0 st < 5, where t is measured in seconds and velocity have unit of ft/s. (a) Determine when the motion is in the positive direction and when it is in the negative direction. (b) Find the displacement of the object on the interval 0 st 35. (c) Write down an expression for the distance traveled by the object over the interval 0...
A) The position of an object moving along an x axis is given by x = 3.00t - 4.00t2 + t3, where x is in meters and t in seconds. Find the position of the object at t = 2.03 s. B) What is the average velocity for the time interval from t = 2.03 s to t = 4.00 s.
5. The following graph represents the velocity of an object, moving along a horizontal line as a function of time. Express all answers to two significant figures. East is the positive direction and West is negative. (6 marks) Velocity Vs. Time 10 Velocity. (m/s) 10 12 14 -6 Time, t(s) a) Determine the acceleration of the object at 1.0s. b) Determine the average velocity of the object between 4.0 and 8.0 s. c) Over what time interval(s), if any, is...