
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
January 11th, 2019, 06:41 AM  #1 
Newbie Joined: Feb 2018 From: Iran Posts: 25 Thanks: 3 
An arrow is shot upward on a planet. Its height (in meters) after t seconds is given by h(t) = 60t – 0.6t^2. a. At what time will the arrow reach the top? b. With what velocity will the arrow hit the ground? Last edited by skipjack; January 12th, 2019 at 04:41 AM. 
January 11th, 2019, 09:24 AM  #2 
Senior Member Joined: Dec 2015 From: Earth Posts: 327 Thanks: 42 
(a) $\displaystyle h’(t)=0$

January 12th, 2019, 11:22 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,105 Thanks: 1907 
As h(t) = 1500  .6(50  t)², its maximum value occurs when t = 50. When the arrow hits the ground, it will have a velocity that is directed downward and has magnitude 60 meters per second. 

Tags 
change, derivatives, rate 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Average rate of change and the instantaneous rate of change  puppypower123  Calculus  1  April 14th, 2016 06:48 PM 
rate of change and average rate of change  bongantedd  PreCalculus  1  April 30th, 2014 01:40 AM 
rate of change  rajendrarama  Calculus  1  December 4th, 2013 09:24 AM 
Rate of change  henoshaile  Calculus  1  October 21st, 2012 11:42 PM 
Rate of change...  ArmiAldi  Calculus  4  April 20th, 2008 01:00 PM 