1. (1 point) A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 16 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground? 2. (1 point) Let s(t ) = 3t 2 12t + 6 for 0 t 9 denote the position of Use If the answer includes more than one interval write the intervals separated by the \"union\" symbol, U. If needed enter as INF and as -INF. 3. (1 point) Let s(t ) = 3t 4 + 4t 3 24t for 0 t 5 denote the position of an object moving along a line. Find The velocity at time t is The acceleration at time t is an object moving along a line. Find Find the initial position The velocity at time t is and the ending position Find the total distance traveled by the object The acceleration at time t is Find the initial position position Find where the acceleration is positive interval notation. and the ending Find the total distance traveled by the object Find where the velocity is positive inter- val notation. Use Find where the velocity is positive inter- val notation. Use If the answer includes more than one interval write the intervals separated by the \"union\" symbol, U. If needed enter as INF and as -INF. Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 1 Faris Alasmari MATH 1451-022 Fall 2013 WeBWorK 3-4 is due 03/09/2016 at 11:59pm CST. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. Usually you can attempt a problem as many times as you want before the due date. However, if you are having trouble guring out your error, you should consult the book or ask a fellow student or your professor for help. Don't spend a lot of time guessing - it's not very efcient or effective. Give 4 or 5 signicant digits for (oating point) numerical answers. For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 2 3 instead of 8, sin(3 pi/2)instead of -1, e (ln(2)) instead of 2, (2 + tan(3)) (4 sin(5)) 6 7/8 instead of 27620.3413, etc. You can use the Feedback button on each problem page to send e-mail to the professor. Remember questions after 3pm on the due date will not be answered. Find where the acceleration is positive interval notation. 1. (1 point) A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 16 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? Use If the answer includes more than one interval write the intervals separated by the \"union\" symbol, U. If needed enter as INF and as -INF. 3. (1 point) B. At what time does the stone hit the ground? Let s(t) = 3t 4 + 4t 3 24t for 0 t 5 denote the position of an object moving along a line. Find C. What is the velocity of the stone when it hits the ground? 2. (1 point) The velocity at time t is Let s(t) = 3t 2 12t + 6 for 0 t 9 denote the position of an object moving along a line. Find The acceleration at time t is The velocity at time t is Find the initial position and the ending position The acceleration at time t is Find the total distance traveled by the object Find the initial position and the ending position Find where the velocity is positive val notation. Find the total distance traveled by the object Find where the velocity is positive val notation. Use inter- If the answer includes more than one interval write the intervals separated by the \"union\" symbol, U. If needed enter as INF and as -INF. Use inter- Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 1