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Two objects are thrown simultaneously from the same height but at different angl

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Question: Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?

Options:

  1. 30 degrees
  2. 60 degrees
  3. Both have the same range
  4. Cannot be determined

Correct Answer: 30 degrees

Solution: 

The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.

Two objects are thrown simultaneously from the same height but at different angl

Practice Questions

Q1
Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?
  1. 30 degrees
  2. 60 degrees
  3. Both have the same range
  4. Cannot be determined

Questions & Step-by-Step Solutions

Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?
  • Step 1: Understand that the range of a projectile is the horizontal distance it travels before hitting the ground.
  • Step 2: Know that the angle at which a projectile is thrown affects its range.
  • Step 3: Remember that the maximum range for a projectile is achieved at an angle of 45 degrees.
  • Step 4: Compare the angles given: one is thrown at 30 degrees and the other at 60 degrees.
  • Step 5: Since 30 degrees is closer to 45 degrees than 60 degrees, the projectile thrown at 30 degrees will travel further.
  • Step 6: Conclude that the projectile thrown at 30 degrees will have a longer range than the one thrown at 60 degrees.
  • Projectile Motion – Understanding the principles of projectile motion, including the effects of launch angle on range.
  • Optimal Launch Angle – Recognizing that the maximum range for projectile motion occurs at a launch angle of 45 degrees.
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