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?
Practice Questions
1 question
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?
30 degrees
60 degrees
Both have the same range
Cannot be determined
The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.
Steps: 6
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.
