Horizontal and vertical velocity components

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SUMMARY

The discussion focuses on calculating the vertical component of a dolphin's velocity when it leaps at an angle of 32° above the horizontal with a horizontal velocity of 7.7 m/s. The correct approach involves using trigonometric functions, specifically the sine function, to find the vertical component. The initial calculation of 4.63 m/s was identified as incorrect, indicating a need for a complete breakdown of the calculations to identify errors. Participants emphasized the importance of showing full calculations for accurate assistance.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Familiarity with kinematic equations related to projectile motion.
  • Knowledge of vector components in physics.
  • Ability to perform calculations involving angles and velocities.
NEXT STEPS
  • Review the sine and cosine functions in the context of projectile motion.
  • Learn how to decompose vectors into horizontal and vertical components.
  • Study kinematic equations for vertical motion under gravity.
  • Practice solving similar problems involving angles and velocities in physics.
USEFUL FOR

Students studying physics, particularly those focusing on projectile motion, as well as educators seeking to clarify concepts related to vector decomposition and kinematics.

IAmSparticus
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Homework Statement


A dolphin leaps out of the water at an angle of 32° above the horizontal. The horizontal component of the dolphin's velocity is 7.7 m/s. Find the magnitude of the vertical component of the velocity.


Homework Equations


Vy=V0y + ayt


The Attempt at a Solution


4.63 m/s is incorrect.

cos(32 degrees) = (7.7 m/s) / hypotenuse
 
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Hi IAmSparticus! :wink:

Show us your full calculations, and then we can see what went wrong, and we'll know how to help! :smile:
 

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