v=2t the graph will go through the 2,1 points . v=-t the graph will go through the -1,1 points. v=t the graph will go through the 1,1 points.
6) The acceleration of an object is given by the graph shown below on the left....
. If the acceleration of an object is constant and we make a graph of the acceleration vs time, what function should fit the data? That is, if I write a ft), what is f(t)? 2. Velocity is the integral of acceleration. If the acceleration of an object is constant and we make a graph of the velocity vs time, what function should fit the data? 3. Position is the integral of velocity. If the acceleration of an object is...
A velocity-time graph for an object moving along the x axis is shown in the figure. Every division along the vertical axis corresponds to 1.50 m/s and each division along the horizontal axis corresponds to 1.50 s. v (m/s) fs (a) Plot a graph of the acceleration versus time. Choose File no file selected This answer has not been graded yet. (b) Determine the average acceleration of the object in the time interval t = 7.50 s to t =...
An object is moving along the x-axis. 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. What is the average velocity of the object during the time interval t = 0 to t = 30 s?b. What is the average speed of the object during the time interval t = 0 to t = 30 s?c. Use the given graph...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
(10 pts) The acceleration of an object is given by the vector function at) = (2,6t, 6). The initial velocity of the object is v(0) = (0,1,2) and the initial position of the object is r(0) = (0,0,5). (a) Find v(t). (b) Find the position of the object at time t = 1. Simplify your answer completely.
please help with problem (6) Use the following graph of the velocity function v(t) of an moving in a straight line to answer the following questions (a) Find the displacement of the object between t = 0 and t = 5. (b) FInd the distance traveled by the object between t = 0 and t = 5 (c) What is the position of the object at t = (d) Sketch the graph of s(t) assuming s(0) = 3. Your graph...
Position Graph Velocity Graph time (s) time (s) (a) On the coordinate axis below, draw a motion diagram for this object moving from t-0 to 3 second Show 4 events using one-second intervals. A motion diagram includes position dots, time, and velocity vectors -5 m -3 m 2 m -l m r 0 Im (b) On the coordinate axis below, draw a motion diagram for this object moving from t-3 to 5 second Show 3 events using one-second intervals. A...
9) Assume that a moving object has constant acceleration a for all t>0 a) Determine a function, v(t), for the velocity of the object. i. For you function, what is v(0)? ii. Is your v(t) the only possible function or are there other possibilities? iii. Describe all possible v(t) b) Determine a function s(t) for the position of the object. What is s(0)? i. ii. Describe all possible s(t) We know that acceleration due to gravity on earth is about...
An object's motion is represented by the x vs. t graph shown below Hint: Velocity is the slope of x vs. t graph, and acceleration is slope of v vs. t graph. 130 points: 5 points each r (s) t (a) a. Draw the corresponding v vs. t graph on the axes provided. b. Draw the corresponding a vs. t graph on the axes provided. c. At what times is the position a maximum (most positive)? At those times, is...
Time 4. (10 pts) Below is a velocity vs. time graph for an object. Assume positive is to the right. a. (5 pts) Determine over which time interval(s) this object is speeding up. b. (5 pts) Find the magnitude and direction of the object's acceleration at t s v(m/s) 12 34 5 6 78 9 10