Consider launching a projectile from a cannon as shown in the diagram below. This arrangement has been set up in the experimental equipment prov ided. The launch angle is 6and the mouth of the cannon is h above the ground. The initial velocity of the projectile as it leaves the mouth of the cannon has a magnitude v. The ball lands on the ground a distance, d, away from the mouth of the cannon.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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part b,c and d

Consider launching a projectile from a cannon as shown in the diagrambelow.
This arrangement has been set up in the experimental equipment provided. The
launch angle is 6and the mouth of the cannon is h above the ground. The initial
velocity of the projectile as it leaves themouth of the cannon has a magnitude v:
The ball lands on the ground a distance, d, away from themouth of the cannon.
............
a. Using the diagram and what you know about the acceleration in the x-direction,
derive an equation ford, as a function of 6, vi and t.
Ax =0
D=v *t
D=vi*cos(0)*t
b. Similarly, using the diagram and what you know ab out the acceleration in they-
direction, derive an equation that connects , v, h, and t.
c. Take the special case of 8=45° and, using your two equations, show that v,
=
gd?
Vh+d
d. Set the angle of the cannon on the demonstration equipment to 45°. Measurethe
height from the desk to the mouth of the cannon.
Transcribed Image Text:Consider launching a projectile from a cannon as shown in the diagrambelow. This arrangement has been set up in the experimental equipment provided. The launch angle is 6and the mouth of the cannon is h above the ground. The initial velocity of the projectile as it leaves themouth of the cannon has a magnitude v: The ball lands on the ground a distance, d, away from themouth of the cannon. ............ a. Using the diagram and what you know about the acceleration in the x-direction, derive an equation ford, as a function of 6, vi and t. Ax =0 D=v *t D=vi*cos(0)*t b. Similarly, using the diagram and what you know ab out the acceleration in they- direction, derive an equation that connects , v, h, and t. c. Take the special case of 8=45° and, using your two equations, show that v, = gd? Vh+d d. Set the angle of the cannon on the demonstration equipment to 45°. Measurethe height from the desk to the mouth of the cannon.
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