The velocity of the projectile (red arrows) changes in direction and magnitude, but its acceleration (purple arrows) remains constant. y Target ------ Line of sight Xr tan 0; Point of Gun collision Ут Figure 4.13 (Example 4.3) (a) Multiflash photograph of the projectile-target demonstration. If the gun is aimed directly at the target and is fired at the same instant the target begins to fall, the projectile will hit the target. (b) Schematic diagram of the projectile-target demonstration. Charles D. Winters

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
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Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 39P
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In a popular lecture demonstration, a projectile is aimed directly at a target and fired in such a way that the projectile leaves the gun at the same time the target is dropped from rest. Show that the projectile hits the falling target.

The velocity of the projectile (red
arrows) changes in direction and
magnitude, but its acceleration
(purple arrows) remains constant.
y
Target
------
Line of sight
Xr tan 0;
Point of
Gun
collision
Ут
Figure 4.13 (Example 4.3) (a) Multiflash photograph of the projectile-target demonstration. If the gun
is aimed directly at the target and is fired at the same instant the target begins to fall, the projectile will
hit the target. (b) Schematic diagram of the projectile-target demonstration.
Charles D. Winters
Transcribed Image Text:The velocity of the projectile (red arrows) changes in direction and magnitude, but its acceleration (purple arrows) remains constant. y Target ------ Line of sight Xr tan 0; Point of Gun collision Ут Figure 4.13 (Example 4.3) (a) Multiflash photograph of the projectile-target demonstration. If the gun is aimed directly at the target and is fired at the same instant the target begins to fall, the projectile will hit the target. (b) Schematic diagram of the projectile-target demonstration. Charles D. Winters
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