   Chapter 3, Problem 51AP

Chapter
Section
Textbook Problem

A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 25.0 m/s. A net is positioned a horizontal distance of 50.0 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil?

To determine
The height the net to be placed above the cannon in order to catch the daredevil.

Explanation

The initial components of the velocity are,

v0x=v0cosθ

Here,

v0 is the initial velocity

θ is the angle of projection

v0x=(25.0m/s)cos45.0°=17.68m/sv0y=v0sinθ=(25.0m/s)sin45.0°=17.68m/s

The required to travel 50.0m horizontally is,

t=Δxv0x

Here,

Δx is the horizontal displacement

t=50.0m17

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