Calculating Velocity from Acceleration: Solving for Time

Thread starter bdb1324
Start date Oct 5, 2007
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Acceleration Particle

AI Thread Summary

To determine when the velocity of a particle becomes zero, the acceleration function a_x = (10 - t) m/s² can be integrated to find the velocity function. Starting with the initial conditions of x_0 = 0 m and v_0x = 0 m/s at t = 0 s, the integration of acceleration leads to the velocity equation v(t) = 10t - (t²/2). Setting this equation to zero allows for solving the time when the velocity returns to zero. The discussion emphasizes the importance of integrating acceleration to derive velocity and applying initial conditions correctly. The key takeaway is that proper integration and application of initial conditions are crucial for solving the problem.

Oct 5, 2007

bdb1324

A particle's acceleration is described by the function a_x =(10 -t) m/s^2, where t is in s. Its initial conditions are x_0 =0 m and v_0x =0 m/s at t =0 s.

At what time is the velocity again zero?

I am having a hard time setting this problem up with where to begin if someone could help me with a formula that would be much appreciated.

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Oct 5, 2007

malawi_glenn

Science Advisor

Double post..

Oct 6, 2007

chaoseverlasting

a=dv/dt. Integrate to get v.

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