Thank you for visiting At a shooting range a bullet is fired horizontally from a rifle with a velocity of 800 m s Find how far it will fall. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
When a bullet is fired from a rifle at a shooting range, a) it will fall 7.625 cm by the time it reaches a 100-meter target and b) 30.625 cm by the time it reaches a 200-meter target.
Explanation:
The initial velocity in the vertical direction is zero as the bullet is fired horizontally, and the acceleration is the acceleration due to gravity (9.8 m/s^2).
However, we do not have the time it takes for the bullet to reach the target, but we can calculate it by dividing the distance to the target by the horizontal speed of the bullet (800 m/s).
Using the equation:
'displacement = initial velocity x time + 0.5 x acceleration x time squared'
a) For a 100-meter target:
Time = 100m / 800 m/s = 0.125 seconds.
Plugging this into our motion equation:
Displacement = 0.5 x 9.8m/s^2 x (0.125s)^2 = 0.07625 meters or 7.625 cm.
b) For a 200-meter target:
Time = 200m / 800 m/s = 0.25 seconds.
Plugging this into our motion equation:
Displacement = 0.5 x 9.8m/s^2 x (0.25s)^2 = 0.30625 meters or 30.625 cm.'
Learn more about Kinematics here:
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