My Math Forum free falling question

 Calculus Calculus Math Forum

 October 16th, 2010, 02:03 PM #1 Newbie   Joined: Oct 2010 Posts: 2 Thanks: 0 free falling question I have this free falling question and it would be greatly appreciated if someone could help me 1) Problem: Wyle Coyote was chasing a roadrunner in his acme homemade helicopter. Unfortunately it took him so long to catch up to the roadrunner that he ran out of gas. When he ran out of gas he was hovering 400 feet above the ground looking for the roadrunner. At that moment, the coyote and the helicopter proceeded to fall freely to earth. So the formula in the case of the coyote is h(t)=400-16t^2. 1. What is the height of the coyote 3 seconds after he starts to drop? 2. How far has he fallen during those 3 seconds? 3. What is his average speed during those 3 seconds? 4. How long will it take from the time the coyote starts to fall until he hits the ground? 5. How far does the coyote fall during the last second before he hits the ground? 6. Based on the formula how might you find the coyote's speed at the exact moment he hits the ground?
 October 16th, 2010, 05:05 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,209 Thanks: 517 Math Focus: Calculus/ODEs Re: free falling question 1. What is the height of the coyote 3 seconds after he starts to drop? Here, t = 3 seconds, thus h(3) = 400 - 16(3)² = 256 ft. 2. How far has he fallen during those 3 seconds? ?h = h(0) - h(3) = 400 - 256 = 144 ft. 3. What is his average speed during those 3 seconds? v = d/t = (144 ft)/(3 s.) = 48 ft./s. 4. How long will it take from the time the coyote starts to fall until he hits the ground? 0 = 400 - 16t² t² = 25 t = 5 s 5. How far does the coyote fall during the last second before he hits the ground? h(4) = 400 - 16(4)² = 144 ft. 6. Based on the formula how might you find the coyote's speed at the exact moment he hits the ground? dh/dt = v(t) = -32t ?v(5)? = 160 ft./s.

 Tags falling, free, question

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post BenFRayfield Physics 1 February 17th, 2014 12:13 PM BenFRayfield Advanced Statistics 0 May 6th, 2013 08:16 AM Solarmew Applied Math 2 December 15th, 2012 04:46 PM Ahsayuni Calculus 5 February 20th, 2012 06:10 PM clankill3r Algebra 1 November 3rd, 2011 01:46 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top