Velocity needed to hit a moving target

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To determine the velocity of the arrow needed to hit a moving grizzly bear, establish equations for the bear's and arrow's positions over time. The bear charges at a constant velocity of 20 m/s from a distance of 150 m. The arrow is launched at a 25-degree angle, requiring calculations to ensure both the bear and arrow reach the same position simultaneously. The key is to solve for the initial speed of the arrow that aligns with the bear's movement. This approach will yield the necessary velocity for a successful hit.
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Homework Statement



a grizzly bear charges a hunter with a constant velocity of 20m/s at the instant the bear is 150m away from the hunter. The hunter fires an arrow at 25 degrees. What must be the velocity of the arrow to strike the bear?

Homework Equations





The Attempt at a Solution

 
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Welcome to PF!

Hi Becky26! Welcome to PF! :wink:

Write out an x,t equation for the bear, and another x,t equation for the arrow.

You need to find the initial speed so that when x = 150, t is the same for both.

Show us what you get. :smile:​
 

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