What is the Maximum Height and Flight Time of an Arrow Fired Upward?

AI Thread Summary
An arrow fired upward at an initial speed of 38 m/s reaches a maximum height of 73.75 meters and takes approximately 7.76 seconds to return to the ground. At 1.3 seconds, the arrow is at a height of 41.11 meters, while at 3.8 seconds, it is nearly at its maximum height of 73.64 meters. The calculations utilize kinematic equations to determine these values. The responses confirm the accuracy of the initial calculations. The discussion emphasizes the application of physics principles in solving projectile motion problems.
joel amos
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Homework Statement


An arrow is fired upward with an initial speed of 38 m/s. What is it's maximum height? How long does it take to return to the ground? How high is it at 1.3 seconds? How high at 3.8 seconds?


Homework Equations


x = Vo*t + .5*a*t^2
y = .5gt^2
etc.

The Attempt at a Solution


I got 73.75 m for the maximum height, 7.76 s for the time to return, 41.11 m at 1.3 seconds and 73.64 m at 3.8 seconds (which is basically the maximum height). Am I correct?
 
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Yes, you're correct.
 

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