Questions: A projectile is launched horizontally. As it travels along its trajectory toward the ground, the horizontal component of its velocity and the vertical component of its velocity a. increases, increases b. decreases, decreases c. increases, decreases d. decreases, increases e. remains the same, increases f. remains the same, decreases g. increases, remains the same h. decreases, remains the same i. remains the same, remains the same

A projectile is launched horizontally. As it travels along its trajectory toward the ground, the horizontal component of its velocity and the vertical component of its velocity 
a. increases, increases
b. decreases, decreases
c. increases, decreases
d. decreases, increases
e. remains the same, increases
f. remains the same, decreases
g. increases, remains the same
h. decreases, remains the same
i. remains the same, remains the same
Transcript text: A projectile is launched horizontally. As it travels along its trajectory toward the ground, the horizontal component of its velocity $\qquad$ and the vertical component of its velocity $\qquad$ a. increases, increases b. decreases, decreases c. increases, decreases d. decreases, increases e. remains the same, increases f. remains the same, decreases g. increases, remains the same h. decreases, remains the same i. remains the same, remains the same
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Solution

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Solution Steps

Step 1: Analyze Horizontal Motion
  • A projectile launched horizontally has an initial horizontal velocity.
  • In the absence of air resistance, the horizontal component of velocity remains constant.
  • Therefore, the horizontal component of the velocity remains the same.
Step 2: Analyze Vertical Motion
  • The vertical component of velocity starts at zero since the projectile is launched horizontally.
  • As the projectile falls, it is accelerated downward by gravity.
  • This causes the vertical component of velocity to increase over time.
Step 3: Determine the Correct Option
  • Based on the analysis, the horizontal component remains the same, and the vertical component increases.
  • The correct option is (e) remains the same, increases.

Final Answer

The correct answer is E.

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