H3.6.  A bullet is fired from ground level at 120 m/s in the +55° direction. The bullet hits the ground x meters away. Using the formula (y = v0yt …) and obtain the time interval the bullet travels through air.   Calculate how far from the point that it was fired the bullet will hit the ground.

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
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H3.6.  A bullet is fired from ground level at 120 m/s in the +55° direction. The bullet hits the ground x meters away.

  1. Using the formula (y = v0yt …) and obtain the time interval the bullet travels through air.
  2.   Calculate how far from the point that it was fired the bullet will hit the ground.
Expert Solution
Step 1

The given situation belongs to angular projection.

Given,

          Initial velocity at given angle, u=120 ms-1

          Firing angle, θ=55o

          Horizontal velocity = u cosθ

          Vertical velocity = u sinθ

 

Step 2

(1) Time of flight in whole journey, T

T=2usinθg=2×120×sin55o9.8T=196.609.8=20.06 s

 

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