How Fast Must a Puma Jump to Reach 11.5 Feet?

  • Thread starter rcwha
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In summary, the question asks for the speed at which a puma must leave the ground in order to reach a height of 11.5ft (3.51m). The correct kinematic equation to use is V^2=Vyo^2 + 2ay, with an acceleration of -9.8 and a final velocity of 0 at the maximum height. By solving for Vyo, the speed needed to reach the desired height can be found.
  • #1
rcwha
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another 2 dimensional problem :(

The best leaper in the animal kingdom is the puma, which can jump to a height of 11.5ft (3.51m) when leaving the ground at an angle of 43 degress. With what speed, must the animal leave the ground to reach that height?

at first i thought i could find the time it took for the puma to get to it's maximum height by setting V=0 but i don't that's right...

i tried using the equation

change in y=(sin43)Vot-.5g(t^2)

with change in y = 3.51 m


but i don't know how to solve for t or Vo

this question would be so much easier if the question gave the horizontal distance but it doesnt..so what do i do?
 
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  • #2
You need a kinematic equation with inital velocity, final velocity, acceleration and displacement. Can you think of one?

HINT: You know the final velocity

~H
 
  • #3
is it V^2=Vyo^2 + 2ay

a= -9.8
im assuming final velocity= 0 b/c that's what v is going to = at its max height

thank you...i ended up with the right answer
 
  • #4
rcwha said:
is it V^2=Vyo^2 + 2ay

a= -9.8
im assuming final velocity= 0 b/c that's what v is going to = at its max height

thank you...i ended up with the right answer

Spot on. No problem :smile:

~H
 

FAQ: How Fast Must a Puma Jump to Reach 11.5 Feet?

What is a 2 dimensional problem?

A 2 dimensional problem refers to a problem that involves two variables or dimensions. This means that the problem requires two pieces of information or data in order to be solved.

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Scientists approach 2 dimensional problems by using mathematical and scientific principles to analyze and solve the problem. This may involve creating equations, making graphs, and conducting experiments to gather data.

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Using a 2 dimensional approach to problem solving allows scientists to simplify complex problems and make them more manageable. By breaking down a problem into two dimensions, it becomes easier to analyze and understand the underlying factors at play.

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