Find initial velocity given acceleration & distance, no time

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SUMMARY

The discussion focuses on calculating the initial velocity of a frog jumping to a height of 1 meter, given an acceleration of -9.8 m/s². The key equation identified is V² = 2ad, which allows for the direct calculation of initial velocity without needing time. By substituting the values, the initial velocity can be determined as approximately 4.43 m/s. This method provides a clear solution to the problem using fundamental kinematic equations.

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with acceleration and distance concepts
  • Basic algebra skills for solving equations
  • Knowledge of gravitational acceleration (-9.8 m/s²)
NEXT STEPS
  • Study the derivation and application of kinematic equations
  • Learn how to solve quadratic equations in physics problems
  • Explore projectile motion concepts in physics
  • Investigate the effects of air resistance on projectile motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of motion and kinematics, particularly in solving problems involving initial velocity and acceleration.

brendonsushi
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Homework Statement


Frog jumps in air to 1m height. Neglecting air resistance find initial speed the instant it leaves the ground.
a= -9.8m/s^2
d= 1m
vi=?

Homework Equations


d=1/2(vf+vi)t
d=1/2at^2 + vi(t) + di

The Attempt at a Solution


I figured that since acceleration is 9.8m/s, I could just find time by dividing 9.8m/s by 9.8 and that would give me 1m/0.1s, but that doesn't seem quite right. I then proceeded to put the acceleration, distance, and "time" values into d=1/2at^2 + vi(t) + di, so that vi=0.9m/s^2, but I don't think I did it right. Is there any way to just find initial velocity with only acceleration and distance values?
 
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Hi brendon:

I think you are missing a useful equation. V2 = 2 a d.

Hope this helps.

Regards,
Buzz
 

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