Two objects move along the x axis with position functions x 1 (t) 2 sin t and x 2 (t) sin (t 2) At what times on the interval 0, 2 are the objects closest to each other and farthest from each other

Question: Two objects move along the x-axis with position functions x 1 (t) = 2 sin t and x 2 (t) = sin (t - /2).

Two objects move along the x-axis with position functions x₁(t) = 2 sin t and x₂(t) = sin (t - π/2). At what times on the interval [0, 2π] are the objects closest to each other and farthest from each other?

Step by Step Solution

★★★★★

3.21 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The difference in the positions of the objects is given by the function ft 2sint sint 2 2 sin... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus Early Transcendentals Questions!

Two objects move along a coordinate line. At the end of t second their directed distances from the origin, in feet, are given by s1 = 4t - 3t2 and s2 = t2 - 2t, respectively. (a) When do they have...

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your position?

Find the domain and range and sketch the graph of the function h(x) = 4 - x2.

For which of the following intervals is the function f (@) = cos (xx) + 3 sin (xx) decreasing throughout the interval? O A. (0, 1) O O C. 15 09 O D. O E. (1, 2)\fThe derivative of a function fis...

12 Two particles move along the x-axis. For 0 St 8, the position of particle P at time t is given by xp(t) = ln(t2-2t+10), while the velocity of particle Q at time t is given by vo(t) = t2-8t + 15....

I'm not sure how to solve this problem 2. Two particles move along the x-axis. For 0 s t s 8, the position of particle P at time t is given by Xp (t) = In(t - 2t+ 10), while the velocity of particle...

Consider clear working. These all the information provided. Thank you .1 Write down expressions for the payoff functions for the option holder for each of the following derivative contracts in terms...

401 Test 4: Chapter 7 Applications of Differentiation Take: 1 | 08/21/16 Directions: Thinkwell Test 4 directions BEFORE TAKING THE TEST: 1] From Thinkwell COURSE HOME tab, complete all of the...

Write a program that will create a list of axis-aligned rectangles defined in a 2D space, i.e. the x-y space. An axis-aligned rectangle has two vertical sides (left and right) that are parallel to...

Question 1 For each trigonometric function, indicate the amplitude and midline. 1. y = 2 sin (0 ) - amplitude: midline: y= 2. y = cos (0) - 5 - amplitude: midline: y= 3. y = 1.4 sin (0) + 3.5. -...

Let z = 2+ 6i and w = 4 2i. Find out the following in the a + iform. !! 1. z2 + w 2. Zw? 1 3. 4. z [2+2+2+2 = 8]

As an auto insurance risk analyst, it is your job to research risk profiles for various types of drivers. One common area of concern for auto insurance companies is the risk involved when offering...

estion 1 0 ( 1 point ) Vhich of the following statements is true? Stock dealers are not allowed to make money on the difference between stock purchase prices and stock sale prices. A bear market is a...

5. To provoke thought and discussion on the nature of the intertwining cause-and-effect relationship between advertising and cultural values by analyzing ads to determine whether advertising shapes...

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. dz z* + 4

Evaluate the integral. x sin(1 + x) dx V1 + x?

Evaluate the integral. [(1 + J )*dx

The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. P=$1000,r=7.5%,t=3 months The loan's future value is...

SQL ASSIGNMENT Activity 1 : Create a table STUDENT with under mentioned structure by using SQL Statement: StdID Number Primary Key StdName Character ( 3 0 ) NOT NULL Sex Character ( 6 ) Male or...

One million dollars is invested for 20 years at a nominal annual rate of 10%. Find the amount if interest is compounded: (a) monthly; (b) continuously. O (a) $7,329,074 (b) $7,388,056 O(a) $7,323,074...