21. The figure shows the velocity v(t) of an object moving along a coordinate line as...
The figure shows the velocity of an object moving along a straight line as a function of time. Determine: a) The displacement of the object for the first 9 secondsb) The object's average velocity from t = 0 s tot=9 s.c) The object's average acceleration from t = 0 tot = 5 seconds.c) The acceleration of the object at t =8 seconds.
The velocity of an object moving along a line is given by v - 2 + 1 us on the interval OSL$4. a. DMde the interval [0, 41 into subintervals. [0.11.[1, 21. 12. and [3, 4]. On each subinterval, assume the object moves at a constant velocity equal to the value of v evaluated at the midooint of the subinterval and use these approximations to estimate the displacement of the object on [0, 4). (Sen part (a) of the figura)...
The velocity of an object moving along a line is given by v - 2 + 1 lus on the interval Osls4. a. DMde the interval [0, 41 into subintervals. [0.11. [1, 21. (2 and [3, 4]. On each subinterval, assume the object move at a constant velocity equal to the value of v evaluated at the midooint of the subinterval and use these approximations to estimate the displacement of the object on 41. (Be part of the nig.ra. 6....
5.1.15 Question Help The velocity of an object moving along a line is given by v 2t+4 ft/s on the interval 0sts4. a. Divide the interval [0, 4] into subintervals, [0, 1], [1, 2], [2, 3], and [3, 4]. On each subinterval, assume the object moves at a constant velocity equal to the value ofv evaluated at the midpoint of the subinterval and use these approximations to estimate the displacement of the object on [0, 4]. (See part (a) of...
2. The velocity of a particle moving along a horizontal line is given by v(t) = sin(t). Find the distance travelled by the particle from time t = 0 to t = 21. A. 0 B. 1 C. 2 D. 4 E. None of the above. 6. When you increase the side of a cube by 2%, by what percentage does the volume approximately increase? A % B.2% C.4% D. 6% E. 8%
(1) (5 Points) The velocity of an object moving along a line is given by v(t) = 12-36 +2. Find the total distance traveled by the object during the interval of time 0 St <3.
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...
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 figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x-axis. A) What is the net force acting on this object at t= 1 s? B) At 4 s? C) At 7 s? The figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x - axis. A) What is the net force acting on this object at t= 1 s? B) At 4 s? C) At 7 s?
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...