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Homework Help: Calculus

Posted by Anonymous on Friday, January 25, 2013 at 6:18pm.

A rock is thrown off of a 100 foot cliff with an upward velocity of 45 m/s. As a result its height after t seconds is given by the formula: h(t)= 100+45t-5t^2

The height after 6 seconds is 190

What is the velocity after 6 seconds?

• Calculus - Reiny, Friday, January 25, 2013 at 6:28pm

  h(6) = 100+45(6) - 5(36) = 190 m
  
  Wow, this person was able to throw a rock upwards 90 m, the height of roughly a football field ??
  
  
  velocity = h' (t) = 45 - 10t
  when t=6
  velocity = 45 - 60 = -15 m/sec
  

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