The velocity in mm/s of an object moving on a straight line is 200 multiplied by s (s given in mm). If the starting point at time zero is s = 0.5m, what is its acceleration when s = 2m and the time required to reach this position.
The velocity in mm/s of an object moving on a straight line is 200 multiplied by...
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.)
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.)
A child is moving in a straight line along a hallway. The velocity of the child as a function of time is shown in the graph at right. Which of the following statements is true about the acceleration of the child at time t 4 seconds? Velocity Time, sec (a) I is positive (b) It is zero (c) I is negative (d) It cannot be determined from this graph. 2 Shown at right is a graph of velocity as a...
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.)
(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?
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...
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...
Suppose the position of an object moving in a straight line is given by s(t) = 2t? + 3t+3. Find the instantaneous velocity when t=5. The instantaneous velocity at t = 5 is 1. Find the instantaneous rate of change for the function at the given value. g(t) = 5-t at t= - 4 The instantaneous rate of change at t = - 4 is .
An object is moving along a straight line in the positive x direction. The graph shows its position from the starting point as a function of time. Various segments of the graph are identified by the letters A, B, C, and D. a. Describe what the object is doing during each segment of the trip. Calculate all constant variables. b. What is the average velocity for the trip.