Physics Help Forum A ball rolling up a parabolic ramp

 Kinematics and Dynamics Kinematics and Dynamics Physics Help Forum

 May 12th 2016, 01:50 AM #1 Junior Member   Join Date: May 2016 Posts: 3 A ball rolling up a parabolic ramp Hi guys! I'm Alan and I'm new here. I hope that we will discuss physics problem solving and concepts freely. Today I need some help with this problem: Assume there is gravity, no friction and no external force acting on the system. A ball has an initial velocity of 5 m/s and climbs up a parabolic ramp, which is defined by y=(x^2)/3. If the ball rolls exactly along the path of ramp, starting from (0,0), calculate the time taken for the ball to climb to a height of y=1. I solved it using differential equations but the differential I got is only numerical integratable (results given by wolfram alpha). I'm looking for an easier way to solve this problem. So, guys, please help! Thanks!
 May 12th 2016, 12:15 PM #2 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,324 Please don't double-post questions: A ball rolling up a parabolic ramp

 Tags ball, parabolic, ramp, rolling

 Thread Tools Display Modes Linear Mode

 Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post errwrsysalan Advanced Mechanics 3 May 12th 2016 12:13 PM GrahamJamesK Periodic and Circular Motion 9 Mar 24th 2011 11:13 AM horan6 Kinematics and Dynamics 1 Nov 28th 2009 06:38 PM Hasan1 Kinematics and Dynamics 1 Nov 5th 2008 06:04 PM Aslak Energy and Work 3 Sep 22nd 2008 05:47 PM