1. You are given a formula Lt where L is the length of the object, t...
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 =...
20lChapter II The description for a certain brand of house paint claims a coverage of 460 ft /gal (a) Express this quantity in square meters per liter. (Some conversion factors: 1 m 3.281 ft; 1 gal 3.785 L; 1 m3 1000L) (b) Express this quantity in units derived from SI base units only (c) What is the inverse of the quantity you found in (b), and what is its physical significance? Hints: (a) Multiply the given quantity by an appropriate...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Please answer all my questions correct !! Please answer all my questions correct !! Please answer all my questions correct !! Please answer all my questions correct !! A second rock is thrown straight upward with a speed 6.000 m/s, If this rock takes 1.828 s to fall to the ground, from what height H was it released? Express your answer in meters to three significant figures A rock thrown with speed 12.0 m/s and launch angle 30.0 (above the horizontal) travels a horizontal...
1. (20 marks) (a) (4 marks) Derive a formula for the surface area of an object that is created by rotating a function f(x) around: 1. the r-axis with y20 2. the y-axis with 20 You will need to clearly show how you have chosen to break the surface up into tiny pieces and what high school geometry is needed to find the area of these tiny pieces (b) (6 marks) Confirm that your formula provides the expected surface areas...
An object's position is given by r(t) = (150-t2 + 1/12t3)i + (200+5t-2.5t2, + 1/18t3)j where t is in seconds and r is in m. Determine the object's velocity at t = 4.0 s. Determine the object's acceleration any time t. The orbital speed of a satellite orbiting Mars at an altitude of 1.06 times 10'm above the surface was measured to be 1.75 km/s. The radius of Mars is 3.39 times 106 m Determine the mass of Mars A...
Pólya's Principle Step 1: Understand the Problem 1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem? Show your work here: (10 points) 2. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that...
I need help with question 6 and 8, please. Thanks so much! :) wa 3 the 5. The combined weight of a motorboat and its load is 480 egu pounds. After starting from rest at t= 0, the motor exerts a dow constant force of 30 pounds on the boat in its linear direction of of s motion. If the total resistance (in pounds) that the boat encounters (bu as it moves along its path is numerically equal to 3v12,...
QUESTIONS 13-18 PLEASE! Maximum Storage Area DUE DATE: This project is worth 10% of your Unit 2 grade. Please review the Project FAQ handout for format and process. Problem Situation A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company foot high chain-link fencing. The...
Date Desk Laboratory Instructor Basic Laboratory Techniques 1 Pre-lab Questions You should be able to answer the following questions before beginning this experiment. What are the basic units of length, mass, volume, and temperature in the SI system? 1. 2. What decimal power do the following abbreviations represent: (a) M, (b) k, (c) m, (d), and n (e) What is the number of significant figures in each of the following measured quantities: (a) 351 g. 3. (b) 0.0100 mL, (c)...