Your bow can fire arrows at 70 ? ? . You shoot an arrow straight up into the air. After 1 second, you shoot another arrow into the air. a) If you are shooting the arrows from 2 m above the ground, how far above the ground do the arrows collide? (Answer: 251 m)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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Your bow can fire arrows at 70 ?
?
. You shoot an arrow straight up into the air. After 1 second, you shoot another
arrow into the air.
a) If you are shooting the arrows from 2 m above the ground, how far above the ground do the arrows
collide? (Answer: 251 m)

Expert Solution
Step 1

Here, the second arrow is fired 1 second from the first arrow. So, consider first arrow fired at t=0 s, then the second arrow fired at t=1 s.

So, using kinematic equation, the position of first arrow at time t is,

y1=uyt+12ayt2

Here, uy is the initial velocity of first arrow, ay is its acceleration.

 

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