Janelle fired a projectile and measured its range. Shehypothesizes that if the magnitude of the initial velocity is doubled and theangle of the velocity remains the same, the projectile will travel twice as far as itdid before. Do you agree with her hypothesis? Explain.

Question

Bradley Sawyer

Mathematics

10 August, 03:27

Janelle fired a projectile and measured its range. Shehypothesizes that if the magnitude of the initial velocity is doubled and theangle of the velocity remains the same, the projectile will travel twice as far as itdid before. Do you agree with her hypothesis? Explain.

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Answers (1)

Know the Answer?

Joey Stone · Answer 1

No

Step-by-step explanation:

If the projectile lands at the same height it was launched from, then its time of flight will be proportional to the vertical speed. Its horizontal distance will be the product of its horizontal speed and its time of flight, so will be proportional to the square of the velocity.

If the velocity is doubled, the projectile can be expected to travel 2² = 4 times as far, not twice as far.