Question: An object travels along a line so that its position s is s = t2 + 1 meters after t seconds. (a) What is its

An object travels along a line so that its position s is s = t2 + 1 meters after t seconds.
(a) What is its average velocity on the interval 2 ≤ t ≤ 3?
(b) What is its average velocity on the interval 2 ≤ t ≤ 2.003?
(c) What is its average velocity on the interval 2 ≤ t ≤ 2 + h?
(d) Find its instantaneous velocity at t = 2.

Step by Step Solution

★★★★★

3.43 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a V ave 3 2 10 2 2 1 3 2 5 msec ... 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

Document Format (1 attachment)

955-M-C-D-E (1575).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

An object is propelled upward at an angle , 45

An object moves along a line so that its velocity at time t is v(t) = 3t2 - 24t + 36 feet per second. Find the displacement and total distance traveled by the object for -1 t 9.

Starting at s = 0 when t = 0, an object moves along a line so that its velocity at time t is v(t) = 2t - 4 centimeters per second. How long will it take to get to s = 12? To travel a total distance...

5) An object moves along a line according to the position function x(t) = 3 + t2 t4. Find the acceleration function. 6) A weight oscillates in a vertical motion according to the position function...

1) Suppose an object moves along a horizontal path with the position function x{f) = 42' t2 on the time interval U s t s 5, where x is measured in meters and t is measured in seconds. Use units to...

Part Two Time Instantaneous Time Instantaneous Time Instantaneous (s) velocity (cm/s) (s) velocity (cm/s) (s) velocity (cm/s) 0.0200 0.2200 0.4200 0.0600 0.2600 0.4600 0.1000 0.3000 0.5000 0.1400...

9 thru 15 ( odd problems only) SECTION 2.1 EXERCISES Getting Started T 12. Given the function f(x) = -16x + 64x, complete the 1. Suppose s(1) is the position of an object moving along a line at...

This question is designed to be answered without a calculator. Let f(x) = 1 4x3. What is MW? 12x2 -'I2X2 12x2+12x -12X2 - 12X This question is designed to be answered with a calculator. Let f(x) = (1...

1. The position at time t in seconds, of an object moving along a line is given by s(t) = 3 t^3 - 40.5 t^2 + 162 t for t belongs to [0, 8]. When is the object stationary? t = 6 & t = 3 seconds t = 6...

An object moves along a line so that its position at any time t > 0 is given by the function x(t), with t measured in seconds. The derivative of a(t) at t = 1 calculates: Select one: )a. The...

If you were to design a new system for your organization, where would you start? What information would you need? What would be your biggest challenges? How would you overcome these challenges? If...

What is meant by infrastructure debt?

Which of the following statements when it comes to Individual Pension Plans ( IPPs ) are correct ? i ) IPPs are best suited for employees, that are not considered to be key employees or executives /...

Schedule control is part of which project management process? A. Change control B. Cost control C. WBS refinements D. Integrated change control

Use (a) The Trapezoidal Rule, (b) The Midpoint Rule, and (c) Simpsons Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places) 1. T+ x* dx, n-8...

3. Calexico Hospital plans to invest $1.8 million in a new MRI machine. The MRI will be depreciated over its 5-year economic life to a $200,000 salvage value. Additional revenues attributed to the...

The replacement of a planning machine is being considered by the Reardorn Furniture Company. (There is an indefinite future need for this type of machine.) The best challenger will cost $30,000 for...

Question 3 4 ( 1 . 3 points ) You are the project monitor for a project in Toronto. You have been provided with the following cash flow budget for the project. What would be the loan drawdown amount...