Kinematics of a Falling Object: Calculating Velocity

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SUMMARY

The discussion focuses on calculating the velocity of a toy dart shot downward at an initial speed of 10.4 m/s after 1.3 seconds, using the equation V = Vo + at. The correct calculation incorporates gravitational acceleration of -9.81 m/s², leading to a final velocity of 23.15 m/s. The key takeaway emphasizes the importance of maintaining consistent sign conventions for velocity, acceleration, and displacement when choosing the coordinate system.

PREREQUISITES
  • Understanding of kinematic equations, specifically V = Vo + at
  • Knowledge of gravitational acceleration (-9.81 m/s²)
  • Familiarity with the concept of initial velocity (Vo)
  • Ability to apply sign conventions in physics problems
NEXT STEPS
  • Study the application of kinematic equations in different scenarios
  • Learn about the effects of air resistance on falling objects
  • Explore advanced topics in projectile motion
  • Review the principles of coordinate systems in physics
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the motion of falling objects.

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Homework Statement


Sarah shoots a toy dart vertically downward at 10.4 m/s at Mark standing on the ground below. Calculate the dart's velocity after 1.3 seconds.

Homework Equations


V=Vo + at
X=1/2(Vo -V)T
X=volt + 1/2at2
V2=Vo2 + 2ax

(If a 2 is after a letter then it means squared)
X=displacement
A=Acceleration
T=Tome
Vo=Initial Velocity
V=Velocity

The Attempt at a Solution


Vf = (10.4 m/s) + (-9.81 m/s^2)(1.3 sec) = 23.15 m/s

That answer is wrong.

Thanks.
 
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If you choose the downward y-axis as positive, then every variable acting in that direction...velocity, acceleration, and displacement... should also be positive.

If you choose the downward y-axis as negative, then every variable acting in that direction...velocity, acceleration, and displacement... should also be negative.

Just be consistent.
 

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