Velocity needed to hit a moving target

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SUMMARY

The discussion centers on calculating the velocity required for an arrow to hit a moving target, specifically a grizzly bear charging at 20 m/s from a distance of 150 meters. The hunter fires the arrow at an angle of 25 degrees. Participants suggest formulating equations for the position of both the bear and the arrow to determine the necessary initial speed of the arrow, ensuring that the time taken for both to reach the same point is equal.

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  • Knowledge of basic physics concepts related to velocity and acceleration
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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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